Continuity mistake: In the back of the car, Marla and her mother are discussing Marla's "unsupported body parts" and their undulations. When she replies "How does he know they're unsupported?", the left bit of the scarf at her neck shifts from one side of the buttoned top to the other. (00:14:10)
Continuity mistake: Howard Hughes is on the phone inside the screening room after they played the news reel about his successful prototype flight. During the conversation, the phone cord is under his armpit or above the forearm depending on the angle. (00:46:30)
Continuity mistake: In the hospital scene, the nurse holds the enema bag at different heights between shots. (00:38:25)
Continuity mistake: The protagonist is on the couch with his girlfriend in Fresno. He mumbles worried about her dad "knowing"; his hands are joined with different placement (left on top, right on top) between shots. (00:13:15)
Deliberate mistake: The movie is set in the late 50s, but Howard Hughes is dealing with his plane crash and the senate hearing about the H-4 Hercules prototype. Those are events from over a decade earlier. However, it should be noted that the initial disclaimer of the movie is "Names and dates have been changed."