Mister Buddwing (1966)

A man (James Garner) wearing an expensive gray suit finds himself in Central Park in New York City not knowing who he is or how he got there; he doesn't even know how he takes his coffee. All he has in his possession is a crumpled piece of paper wrapped around a couple of pills; scribbled on the paper is a phone number. He is also wearing a ring with a broken stone, engraved with the monogram G.V. monogram, G.V. The phone number takes him to a woman who doesn't know who he is. Based on what she calls him and some item association, he begins to call himself "Sam Buddwing" if anyone asks him. As he wanders New York City in a daze, he believes he could be an escaped mental patient based on a newspaper story, his clothes, and the monogrammed ring. But a vision of a young brunette makes him remember a woman named Grace. He manages to spend time with a few women during the day, believing that each one is Grace. Time with one that he knows is not Grace might provide the strongest trigger to remember who he and Grace are and why he was in Central Park in such a despondent state.