Continuity: When Roy Scheider's partner is killed, he is run over by a car. After the car runs him over, his body rolls and you can see his arms swinging freely even though his hands were bound by the plastic ties. Later when you see his body, his hands are bound again.

Continuity: In the climactic chase scene, when Murphy is shot through the window, he is shot in his right arm and there is a hole in the window with blood on it. When he does a 360 degree loop in the helicopter the broken window and blood appears on his left side—the opposite window to that which he was shot through.

Deliberate "mistake": The Army Sergeant that gives the Blue Thunder presentation's mustache is out of military regulations - much too thick and too long.