When Brian (Cruise) meets the older woman at the bar in Jamaica and goes to New York and becomes a "kept" man, they attend a party/museum exhibit opening. It's dusk. The movie on the the theatre marquee as they enter is "Bar Fly" (Mickey Rourke and Faye Dunaway). A short time later, we see the woman exit the building (just before she smacks ol' Tommy) and see the movie on the marquee is now "Casablanca." Long parties those New Yorkers throw.