Continuity mistake: Near the end of the movie, when Oppenheimer is being interrogated in the small room, his lawyer is on the phone (we later find out it's Kitty). In a wide shot, he gives Oppenheimer the phone, and he puts it to his left ear. The next shot is a tight shot of Oppenheimer's face with the phone to his right ear.
Continuity mistake: When Lenny is directing the choir, and really getting into it, the cigarette he has jumps from his mouth to his hand instantly.
Continuity mistake: When Miguel is with the pedophile, he is given bread (or something similar) to eat. Shot changes, and the bread is suddenly bitten. The bread's length keeps changing several times between shots.