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: Byron walks towards the maid and surrounds her waist with his arm. From the angle behind, he is repeating all previous movements.
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.