Revealing mistake: During the car chase, the doc's (already busted) car collides with a missile transporter. The explosion occurs just before the car impacts with the vehicle, and looks more like the burst of a flame thrower than a real explosion. (00:34:25)
Visible crew/equipment: The crew is reflected on the side of the Taurus, when it tries to stop before hitting the petrol tanker. (00:34:25)
Continuity mistake: When Jane is sucking on Frank's finger, you see Jane holding his finger. When it cuts, she isn't holding his finger. (00:36:40)
Visible crew/equipment: When Frank Drebbin opens the car door, it is blocked by a big pile of peanut shells. You can see two large rectangular stage lights in the reflection of the car door. (00:42:15)
Continuity mistake: As Frank and Jane head back to her apartment, a woman passes them by with her dog. When the camera cuts to Frank several times in the scene, you'll notice that the woman and the dog are in several different places and end up turning the corner twice. (00:42:25)
Continuity mistake: The scene where Frank breaks into Ludwig's office. First he rummages through the desk, then he readjusts the chair. In the next shot, he suddenly is holding what seems to be a stuffed fox. (00:45:09)
Continuity mistake: When Frank sets Lugwig's place on fire and goes out the window, you see him about five or six windows away from the corner. Although in the next shot of him, he's going around the corner. (00:46:45)
Continuity mistake: When Frank is in his apartment and when Jane leaves Frank is facing toward the fridge but the next shot of him his back is facing the fridge. (00:51:40)
Continuity mistake: When cutting into the cake with the queen's portrait on it, the waiter slices across the inner corner of the queen's right eye. However, the two pieces of cake served to Jane and Frank both have complete and uncut eyes. (00:54:25 - 00:54:55)
Continuity mistake: When Frank is at the party when the queen arrives, before the horns blow in his ears he's about 1 foot away from them, but the close up of him shows his ears even with the end of the horns. (00:56:50)
Revealing mistake: When the Queen throws the first ball at the baseball game, if you look closely you can see the string which made the ball do its loops. (01:03:30)
Factual error: At the onset of the baseball game, take a look at the Angel's catcher as Mariner Jay Johnstone steps up to bat. You will see he is wearing just a standard baseball hat under his catcher's helmet. MLB rules requires some form of certified (protective inside and out) plastic helmet for catchers, and thus this would not be allowed. (01:07:35)
Other mistake: Pay attention to one of the early innings of the baseball game as one of the Angels' players hits a home run. Though probably intentionally set up this way as to avoid any problems of "logo patents" and such with the real-life MLB California Angels team, he is wearing a helmet without the team logo on it. Also, it is at Dodger Stadium. (01:07:35)
Audio problem: Right at the scene where Reggie Jackson points the gun at the Queen, Drebin fires a shot off at him from his watch. It goes astray, hitting some fat lady, and we hear him saying "whoops!" but his lips don't move. (01:16:10)
Continuity mistake: When Frank does his speech at the end, his chest protecter goes from being wrinkled and squished in one shot, to perfect condition in another, and then back to wrinkled again in the next. (01:17:30)
Visible crew/equipment: At the end of the film when the guy in the wheelchair is rolling down the stairs you can see a burst of gas (presumably from a CO2 cylinder) fire the man up. (01:18:20)
Other mistake: While Frank Drebbin is saying the words "dew glistening on the grass" you can clearly see a woman in the audience at the bottom of the screen repeating every word he says. (01:19:55)
Factual error: When Frank knocks out the Umpire and begins to change into his clothes, the umpire is wearing white underwear. All umpires wear black in case the seat of their pants rip so the game can continue.
Continuity mistake: When Ludwig demonstrates the hypnosis effect with his secretary, she drops her revolver near the door. When Ludwig picks it up, it's several feet away, near his desk.
Continuity mistake: When Ed and Frank drive up to the Police Station, they are towing a luggage trailer that Frank backed into at the airport that didn't have any signage on it, but now sports a "DynAir" placard.