UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549


                                  SCHEDULE 13G

                    Under the Securities Exchange Act of 1934
                                (Amendment No. )*

                                BLOCKBUSTER INC.
--------------------------------------------------------------------------------
                                (Name of Issuer)

                     Common Stock, $0.01 Par Value Per Share
--------------------------------------------------------------------------------
                         (Title of Class of Securities)

                                    093679108
                                    ---------
                                 (CUSIP Number)

                               September 29, 2004
                               ------------------
                      (Date of Event which Requires Filing
                               of this Statement)


Check the appropriate box to designate the rule pursuant to which this Schedule
                                    is filed:

                                [ ] Rule 13d-1(b)
                                [X] Rule 13d-1(c)
                                [ ] Rule 13d-1(d)


*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).


                                  Page 1 of 9




-------------------                                            -----------------
CUSIP No. 093679108                    13G                     Page 2 of 9 Pages
-------------------                                            -----------------

---------- ---------------------------------------------------------------------
        1  NAME OF REPORTING PERSON
           I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

           S.A.C. Capital Advisors, LLC
---------- ---------------------------------------------------------------------
        2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) [ ]

                                                                         (b) [X]

---------- ---------------------------------------------------------------------
        3  SEC USE ONLY
---------- ---------------------------------------------------------------------
        4  CITIZENSHIP OR PLACE OF ORGANIZATION

           Delaware
--------------------- ----- ----------------------------------------------------
                         5  SOLE VOTING POWER

                            0
NUMBER OF             ----- ----------------------------------------------------
SHARES                   6  SHARED VOTING POWER
BENEFICIALLY
OWNED                       2,785,000* (see Item 4)
BY                    ----- ----------------------------------------------------
EACH                     7  SOLE DISPOSITIVE POWER
REPORTING
PERSON                      0
WITH                  ----- ----------------------------------------------------
                         8  SHARED DISPOSITIVE POWER

                            2,785,000* (see Item 4)
---------- ---------------------------------------------------------------------
        9  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

           2,785,000* (see Item 4)
---------- ---------------------------------------------------------------------
       10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

           [ ]
---------- ---------------------------------------------------------------------
       11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

           7.5%* (see Item 4)
---------- ---------------------------------------------------------------------
       12  TYPE OF REPORTING PERSON*

           00
---------- ---------------------------------------------------------------------
* The share amounts and percentages used herein are calculated based upon the
Shares issued and outstanding as of July 31, 2004 as reported in the Issuser's
most recently filed Form 10-Q.
                       *SEE INSTRUCTION BEFORE FILLING OUT


                                   Page 2 of 9




-------------------                                            -----------------
CUSIP No. 093679108                    13G                     Page 3 of 9 Pages
-------------------                                            -----------------

---------- ---------------------------------------------------------------------
        1  NAME OF REPORTING PERSON
           I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

           S.A.C. Capital Management, LLC
---------- ---------------------------------------------------------------------
        2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) [ ]

                                                                         (b) [X]

---------- ---------------------------------------------------------------------
        3  SEC USE ONLY
---------- ---------------------------------------------------------------------
        4  CITIZENSHIP OR PLACE OF ORGANIZATION

           Delaware
--------------------- ----- ----------------------------------------------------
                         5  SOLE VOTING POWER

                            0
NUMBER OF             ----- ----------------------------------------------------
SHARES                   6  SHARED VOTING POWER
BENEFICIALLY
OWNED                       2,785,000* (see Item 4)
BY                    ----- ----------------------------------------------------
EACH                     7  SOLE DISPOSITIVE POWER
REPORTING
PERSON                      0
WITH                  ----- ----------------------------------------------------
                         8  SHARED DISPOSITIVE POWER

                            2,785,000* (see Item 4)
---------- ---------------------------------------------------------------------
        9  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

           2,785,000* (see Item 4)
---------- ---------------------------------------------------------------------
       10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

           [ ]
---------- ---------------------------------------------------------------------
       11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

           7.5%* (see Item 4)
---------- ---------------------------------------------------------------------
       12  TYPE OF REPORTING PERSON*

           00
---------- ---------------------------------------------------------------------
* The share amounts and percentages used herein are calculated based upon the
Shares issued and outstanding as of July 31, 2004 as reported in the Issuser's
most recently filed Form 10-Q.
                       *SEE INSTRUCTION BEFORE FILLING OUT


                                   Page 3 of 9




-------------------                                            -----------------
CUSIP No. 093679108                    13G                     Page 4 of 9 Pages
-------------------                                            -----------------

---------- ---------------------------------------------------------------------
        1  NAME OF REPORTING PERSON
           I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

           S.A.C. Capital Associates, LLC
---------- ---------------------------------------------------------------------
        2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) [ ]

                                                                         (b) [X]

---------- ---------------------------------------------------------------------
        3  SEC USE ONLY
---------- ---------------------------------------------------------------------
        4  CITIZENSHIP OR PLACE OF ORGANIZATION

           Anguilla, British West Indies
--------------------- ----- ----------------------------------------------------
                         5  SOLE VOTING POWER

                            0
NUMBER OF             ----- ----------------------------------------------------
SHARES                   6  SHARED VOTING POWER
BENEFICIALLY
OWNED                       2,785,000* (see Item 4)
BY                    ----- ----------------------------------------------------
EACH                     7  SOLE DISPOSITIVE POWER
REPORTING
PERSON                      0
WITH                  ----- ----------------------------------------------------
                         8  SHARED DISPOSITIVE POWER

                            2,785,000* (see Item 4)
---------- ---------------------------------------------------------------------
        9  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

           2,785,000* (see Item 4)
---------- ---------------------------------------------------------------------
       10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

           [ ]
---------- ---------------------------------------------------------------------
       11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

           7.5%* (see Item 4)
---------- ---------------------------------------------------------------------
       12  TYPE OF REPORTING PERSON*

           00
---------- ---------------------------------------------------------------------
* The share amounts and percentages used herein are calculated based upon the
Shares issued and outstanding as of July 31, 2004 as reported in the Issuser's
most recently filed Form 10-Q.
                       *SEE INSTRUCTION BEFORE FILLING OUT


                                   Page 4 of 9




-------------------                                            -----------------
CUSIP No. 093679108                    13G                     Page 5 of 9 Pages
-------------------                                            -----------------

---------- ---------------------------------------------------------------------
        1  NAME OF REPORTING PERSON
           I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

           Steven A. Cohen
---------- ---------------------------------------------------------------------
        2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) [ ]

                                                                         (b) [X]

---------- ---------------------------------------------------------------------
        3  SEC USE ONLY
---------- ---------------------------------------------------------------------
        4  CITIZENSHIP OR PLACE OF ORGANIZATION

           United States
--------------------- ----- ----------------------------------------------------
                         5  SOLE VOTING POWER

                            0
NUMBER OF             ----- ----------------------------------------------------
SHARES                   6  SHARED VOTING POWER
BENEFICIALLY
OWNED                       2,785,000* (see Item 4)
BY                    ----- ----------------------------------------------------
EACH                     7  SOLE DISPOSITIVE POWER
REPORTING
PERSON                      0
WITH                  ----- ----------------------------------------------------
                         8  SHARED DISPOSITIVE POWER

                            2,785,000* (see Item 4)
---------- ---------------------------------------------------------------------
        9  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

           2,785,000* (see Item 4)
---------- ---------------------------------------------------------------------
       10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

           [ ]
---------- ---------------------------------------------------------------------
       11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

           7.5%* (see Item 4)
---------- ---------------------------------------------------------------------
       12  TYPE OF REPORTING PERSON*

           IN
---------- ---------------------------------------------------------------------
* The share amounts and percentages used herein are calculated based upon the
Shares issued and outstanding as of July 31, 2004 as reported in the Issuser's
most recently filed Form 10-Q.
                       *SEE INSTRUCTION BEFORE FILLING OUT


                                   Page 5 of 9




Item 1(a)           Name of Issuer:
                    --------------

                    Blockbuster Inc.

Item 1(b)           Address of Issuer's Principal Executive Offices:
                    -----------------------------------------------

                    1201 Elm Street
                    Dallas, TX 75270

Items 2(a)          Name of Person Filing:
                    ---------------------

                    This statement is filed by: (i) S.A.C. Capital Advisors,
                    LLC, ("SAC Capital Advisors") with respect to shares of
                    Class A common stock, $.01 par value per share ("Shares") of
                    the Issuer beneficially owned by S.A.C. Capital Associates,
                    LLC ("SAC Capital Associates"); (ii) S.A.C. Capital
                    Management, LLC, ("SAC Capital Management") with respect to
                    Shares beneficially owned by SAC Capital Associates; (iii)
                    SAC Capital Associates with respect to Shares beneficially
                    owned by it; and (iv) Steven A. Cohen with respect to Shares
                    beneficially owned by SAC Capital Advisors, SAC Capital
                    Management, and SAC Capital Associates.

Item 2(b)           Address of Principal Business Office:
                    ------------------------------------

                    The address of the principal business office of (i) SAC
                    Capital Advisors and Mr. Cohen is 72 Cummings Point Road,
                    Stamford, Connecticut 06902, (ii) SAC Capital Management is
                    540 Madison Avenue, New York, New York 10022, and (iii) SAC
                    Capital Associates is P.O. Box 58, Victoria House, The
                    Valley, Anguilla, British West Indies.

Item 2(c)           Citizenship:
                    -----------

                    SAC Capital Advisors and SAC Capital Management are Delaware
                    limited liability companies. SAC Capital Associates is an
                    Anguillan limited liability company. Mr. Cohen is a United
                    States citizen.

Item 2(d)           Title of Class of Securities:
                    ----------------------------

                    Class A Common Stock, par value $0.01 per share

Item 2(e)           CUSIP Number:
                    ------------

                    093679108

Item 3              Not Applicable


                                  Page 6 of 9




Item 4              Ownership:
                    ---------

                    The percentages used herein are calculated based upon the
                    Shares issued and outstanding as of July 31, 2004 as
                    reported on the Issuer's quarterly report on Form 10-Q filed
                    with the Securities and Exchange Commission by the Issuer
                    for the fiscal quarter ended June 30, 2004.

                    As of the close of business on September 30, 2004:

                    1. S.A.C. Capital Advisors, LLC
                    (a) Amount beneficially owned: 2,785,000
                    (b) Percent of class: 7.5%
                    (c)(i) Sole power to vote or direct the vote: -0-
                    (ii) Shared power to vote or direct the vote: 2,785,000
                    (iii) Sole power to dispose or direct the disposition: -0-
                    (iv) Shared power to dispose or direct the disposition:
                    2,785,000

                    2. S.A.C. Capital Management, LLC
                    (a) Amount beneficially owned: 2,785,000
                    (b) Percent of class: 7.5%
                    (c)(i) Sole power to vote or direct the vote: -0-
                    (ii) Shared power to vote or direct the vote: 2,785,000
                    (iii) Sole power to dispose or direct the disposition: -0-
                    (iv) Shared power to dispose or direct the disposition:
                    2,785,000

                    3. S.A.C. Capital Associates, LLC
                    (a) Amount beneficially owned: 2,785,000
                    (b) Percent of class: 7.5%
                    (c)(i) Sole power to vote or direct the vote: -0-
                    (ii) Shared power to vote or direct the vote: 2,785,000
                    (iii) Sole power to dispose or direct the disposition: -0-
                    (iv) Shared power to dispose or direct the disposition:
                    2,785,000

                    4. Steven A. Cohen
                    (a) Amount beneficially owned: 2,785,000
                    (b) Percent of class: 7.5%
                    (c)(i) Sole power to vote or direct the vote: -0-
                    (ii) Shared power to vote or direct the vote: 2,785,000
                    (iii) Sole power to dispose or direct the disposition: -0-
                    (iv) Shared power to dispose or direct the disposition:
                    2,785,000

                    SAC Capital Advisors, SAC Capital Management, and Mr. Cohen
                    own directly no Shares. Pursuant to investment agreements,
                    each of SAC Capital Advisors and SAC Capital Management
                    share all investment and voting power with respect to the
                    securities held by


                                  Page 7 of 9




                    SAC Capital Associates. Mr. Cohen controls each of SAC
                    Capital Advisors and SAC Capital Management. By reason of
                    the provisions of Rule 13d-3 of the Securities Exchange Act
                    of 1934, as amended, each of SAC Capital Advisors, SAC
                    Capital Management and Mr. Cohen may be deemed to own
                    beneficially 2,785,000 Shares (constituting approximately
                    7.5% of the Shares outstanding). Each of SAC Capital
                    Advisors, SAC Capital Management, and Mr. Cohen disclaim
                    beneficial ownership of any of the securities covered by
                    this statement.

Item 5              Ownership of Five Percent or Less of a Class:
                    --------------------------------------------

                    If this statement is being filed to report the fact that as
                    of the date hereof the reporting person has ceased to be the
                    beneficial owner of more than five percent of the class of
                    securities, check the following. [ ]

Item 6              Ownership of More than Five Percent on Behalf of Another
                    --------------------------------------------------------
                    Person:
                    ------

                    Not Applicable

Item 7              Identification and Classification of the Subsidiary Which
                    ---------------------------------------------------------
                    Acquired the Security Being Reported on By the Parent
                    -----------------------------------------------------
                    Holding Company:
                    ---------------

                    Not Applicable

Item 8              Identification and Classification of Members of the Group:
                    ---------------------------------------------------------

                    Not Applicable

Item 9              Notice of Dissolution of Group:
                    ------------------------------

                    Not Applicable

Item 10             Certification:
                    -------------

     By signing below the signatory certifies that, to the best of his knowledge
and belief, the securities referred to above were not acquired and are not held
for the purpose of or with the effect of changing or influencing the control of
the issuer of the securities and were not acquired and are not held in
connection with or as a participant in any transaction having that purpose or
effect.


                                  Page 8 of 9




                                    SIGNATURE

     After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.

Dated: October 7, 2004


S.A.C. CAPITAL ADVISORS, LLC

By: /s/ Peter Nussbaum
    ------------------------------
Name:  Peter Nussbaum
Title: Authorized Person


S.A.C. CAPITAL MANAGEMENT, LLC

By: /s/ Peter Nussbaum
    ------------------------------
Name:  Peter Nussbaum
Title: Authorized Person


S.A.C. CAPITAL ASSOCIATES, LLC

By: /s/ Peter Nussbaum
    ------------------------------
Name:  Peter Nussbaum
Title: Authorized Person


STEVEN A. COHEN


By: /s/ Peter Nussbaum
    ------------------------------
Name:  Peter Nussbaum
Title: Authorized Person


                                  Page 9 of 9