<PAGE>   1


                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C. 20549

                                 Schedule 13G

                   Under the Securities Exchange Act of 1934
                           (Amendment No.: 0      )*



Name of issuer:                    Continental Airlines - Class B


Title of Class of Securities:      Common Stock - Class B


CUSIP Number:                      210795308


     Check the following [space] if a fee is being paid with this statement:
     N/A      .  (A fee is not required only if the filing person:  (1) has a
     previous statement on file reporting beneficial ownership of more than
     five percent of the class of securities described in Item 1; and (2) has
     filed no amendment subsequent thereto reporting beneficial ownership of
     five percent or less of such class.)  (See rule 13d-7.)

     *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 in 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).


(Continued on the following page(s))

                               Page 1 of 4 Pages

<PAGE>   2
                                      13G

CUSIP No.:  210795308                             Page 2 of 4 Pages


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

     Vanguard/Windsor Fund, Inc.

2.   CHECK THE APPROPRIATE [LINE] IF A MEMBER OF A GROUP

     A.                            B.          X          
                                      ------------------

3.   SEC USE ONLY




4.   CITIZENSHIP OF PLACE OF ORGANIZATION

          Maryland

(For questions 5-8, report the number of shares beneficially owned by each
reporting person with:)

5.   SOLE VOTING POWER

                         4,000,000

6.   SHARED VOTING POWER

                         -0-

7.   SOLE DISPOSITIVE POWER

                         -0-

8.   SHARED DISPOSITIVE POWER

                         4,000,000

9.   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                         4,000,000

10.  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

                         N/A

11.  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

                         8.55


12.  TYPE OF REPORTING PERSON

                         IV

<PAGE>   3
                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C. 20549


                                  ----------

                                 SCHEDULE 13G
                       Under the Securities Act of 1934

                                  ----------


Check the following [line] if a fee is being paid with this statement N/A

Item 1(a) - Name of Issuer:

                         Continental Airlines - Class B


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

               2929 Allen Parkway, Houston, TX  77019

Item 2(a) - Name of Person Filing:


                         Vanguard/Windsor Fund, Inc.

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


                         Common Stock - Class B

Item 2(e) - CUSIP Number

                         210795308


Item 3 - Type of Filing:


     This statement is being filed pursuant to Rule 13d-1.  The person filing
is an investment company registered under Section 8 of the Investment Company
Act.


Item 4 - Ownership:


     (a) Amount Beneficially Owned:

                         4,000,000


     (b) Percent of Class:

                         8.55

                               Page 3 of 4 Pages

<PAGE>   4



     (c)  Number of shares as to which such person has:

          (i)  sole power to vote or direct to vote:        4,000,000

          (ii)  shared power to vote or direct to vote:     -0-

          (iii) sole power to dispose of or to direct the disposition of:
                    -0-

          (iv)  shared power to dispose or to direct the disposition of:
                    4,000,000

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

     Not applicable

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 Group:

     Not applicable

Item 9 - Notice of Dissolution of Group:

     Not applicable

Item 10 - Certification:

     By signing below I certify than, to the best of my knowledge and belief,
the securities referred to above were acquired in the ordinary course of
business and were not acquired for the purpose of and do not have the effect
of changing or influencing the control of the issuer of such securities and
were not acquired in connection with or as a participant in any transaction
having such purpose or effect.

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.


Date      2-7-97                   By /s/  Raymond J. Klapinsky       
     ------------------               ----------------------------
                                            Raymond J. Klapinsky


                               Page 4 of 4 Pages