There’s an indelible scene in Francis Ford Coppola’s 1974 masterwork, The Conversation, in which Gene Hackman’s reclusive surveillance expert, Harry Caul, visits his mistress Amy, played with aching vulnerability by Teri Garr. It’s the night of his birthday, and he arrives so late she’s almost given up on him.

She asks how old he is and then proceeds in a teasing, half-jokey way to pepper him with questions — where he lives, if he lives alone, what he does — that reveal how little she knows of this man she clearly loves and has been seeing for an unspecified length of time.

We feel Amy’s hunger to know him, just as we feel Harry’s wincing discomfort and paranoia as she gently pries information from him. “I don’t feel like answering any more questions,” he mutters, moving toward the apartment door and opening his wallet to...