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.
Continuity mistake: Right before the chariot race, when Sheik Ilderim is standing at Judah's right side and tells Judah, "Be careful, don't let him near you," Judah places his hand on the Sheik's forearm as the fanfare starts. Then it cuts to a long shot, with the Sheik now suddenly on Judah's left side, and Judah removing his hand from the Sheik's forearm.
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)