Game Show With Two Women Back-to-Back: Likely The Newlywed Game

You're almost certainly thinking of The Newlywed Game. Couples (often husband/wife) sat back-to-back and answered questions about each other—"What's your spouse's favorite food?" "What would they say is your worst habit?"—leading to hilarious mismatched answers and the classic "The answer is... [reveal]" format.

Originally aired 1966–1974 (ABC), with revivals in the '80s, '90s, 2000s, and 2010s. Hosts included Bob Eubanks, Paul Rodriguez, Carnie Wilson, and Sherri Shepherd. The back-to-back seating is the show's visual signature.

If that's not it, other possibilities: The Dating Game (contestants behind a partition), Card Sharks (couples), or a specific clip from a variety show. But "two women back-to-back answering questions" = Newlywed Game in 99% of cases.