Here we are, three weeks into January, and the Sundance Film Festival has delivered what promises to be the year’s most uncomfortable date movie: a grubby New York-set fable about a facially distinctive actor (modeled on Adam Pearson) who undergoes an experimental procedure that leaves him looking like Sebastian Stan — presumably an improvement, until he realizes that under the skin, he’s still the same miserable loser.

The kind of oddball satire only indie studio A24 would dare to produce, Aaron Schimberg’s “A Different Man” asks what it means to be “normal,” and whether, if we could wave a magic wand and “correct” those same aberrant qualities which set us apart, that’s really something we’d want. “Twilight Zone”-level weird at times, “A Different Man” suggests the bizart-house version of a Woody Allen movie, wherein traditional jokes have been axed in favor of long, cringe-inducing scenes...