Visible crew/equipment: During the chariot race, just as Judah (stunt double) flips over in his chariot in the wide shot, a low angle camera is visible on the track under a canopy, at the right side of the screen.
Revealing mistake: In the shooting scene in the Mount Rushmore cafe, a boy in the background puts his fingers in his ears, because he knows the gun is about to be shot.
Visible crew/equipment: When the pilots are driving the plane and a spaceship pass them you can see a shadow of a microphone. (00:04:40)