Continuity mistake: In the scene where Roger and Hoskins are moments away from crashing into a bridge in the cab quickly look at the road there is no gate in between the roads. But when they jump onto the bridge they crash right into a gate. (00:57:15)
Visible crew/equipment: When Drebin chases the doctor out of the hospital, the doctor gets a car, while in the background, Drebin falls from the ladder. Drebin then emerges from under the car. The doctor drives off, and Drebin enters the foreground. Look in the windscreen of the car Drebin emerged from. The top of a man's head with grey hair appears at the end of the shot, thinking it's over. This is the stunt double that dropped from the ladder. (00:32:25)
Continuity mistake: In the basement of the Orpheum theater, Holmes takes a lamp off of a wall and places it on the floor. The shot cuts, and the lamp is back on the wall. When the shot cuts again, the lamp is back on the floor. (01:29:25 - 01:30:45)
Continuity mistake: Near the end when they're entering the Mexican village, Billy's coat disappears as he rides through the gate. (01:17:45)
Revealing mistake: In the barber shop scene at the end of the film, Agent Anderson terrorises Deputy Sheriff Pell (who has a full head of hair) with a razor blade. Anderson throws him across the room, but the person being thrown across the room has a mostly bald head.
Visible crew/equipment: Outside court when Archie is talking to a man, Wanda is standing behind them wearing a fake wig. When the man leaves, if you look in the window behind them to the right, you should be able to see the boom mike operator wearing a red shirt. (00:38:25)
Continuity mistake: When Harrison Ford is on the rooftop and the suitcase accidentally opens, the Statue of Liberty goes flying off the rooftop and on to the ground, several stories down. In the next shot, the little statue is perched at the edge of the rooftop. Also, the clothes that fly away magically reappear next to the suitcase a shot later.
Continuity mistake: Inside Lord Peel's study, Poirot asks Lady Westholme what did she do after lunch, since "You did not immediately go for your walk, I believe." Peter Ustinov poses the question with his hands behind his back, but Lauren Bacall's answer answers with the stand-in for Ustinov posing with his hand on his hip. (00:54:40)
Revealing mistake: When Jemma enters the headshrinker's laboratory, there is a table with three heads on it each encased in glass. When it goes in close-up on the middle head, you can see that the table has a hole where the actor can slip in his head.