Continuity mistake: When Woody has the landing gear lowered on the burning airliner, only the right main gear comes down. When Pappy warns him that the other gear isn't down, he pulls up and goes around. As the camera pans over the plane, it shows the left gear down, and the right up. Then when Woody retracts the gear, once again the right one is down.
Revealing mistake: In the scene towards the beginning, when the Chinese mob are talking in the car junk yard, the Chinese guy about to be crushed to death is begging for mercy. While the Chinese mob are talking, when the camera pans to the guy about to be killed, you can clearly see that it's a dummy, then in the next shot it's the real guy again.
Factual error: When King Cutler shoots his brother near the end of the film, he uses a revolver, a weapon not produced until the next decade.