Revealing mistake: In the scene where Axel throws the art dealer's henchman onto the buffet table, if you watch carefully (or use slo-mo) you can clearly see the stunt double pulling off that maneuver.
Continuity mistake: When Eddie Murphy is getting the bananas from the waiter in the hotel, the bananas he gets are straight. When he places the bananas in the tailpipe of the detectives' car, they are curved.
Continuity mistake: When the police arrive at Victor's house the guards in the security room decide to run. At this time they are wearing guns in shoulder holsters. When you see them next, running out the door, they are unarmed. You see them again in the van, again with guns and shoulder-holsters.
Continuity mistake: Check out the police car(s) when Axel is in the back of the trailer truck. At first, the police arrive in a then-new 1984 Plymouth Gran Fury, then when the truck flees, the police car reverses back out of the alley, emerging in the next shot as a late 1970's Dodge St.Regis. The next shot has the police car now a 1977 Plymouth Fury, which seconds later changes back again to the St.Regis.
Revealing mistake: Just before the white Beetle is struck by the truck, it can be seen moving forward as if being driven, but there is nobody in it, and its tires do no touch the ground as if it is on casters being pushed by the green Buick (with black vinyl top) behind it. A tubular brace that might connect the Beetle to the Buick falls off the Beetle's right-side rocker panel when the car is hit.
Revealing mistake: Near the start of the truck chase, a long shot shows the truck followed by several police cars. In the foreground, another police car's roof comes into view, showing hastily-applied orange numbers on the roof. They appear to be magnetic vinyl, but don't adhere well at all, looking very wavy, with gaps under them. Also, they seem to be applied over faded, yellow, painted, *different* numbers, and are aligned so badly, that the old numbers are very exposed. This error is visible in later shots as well, but most exposed here.
Continuity mistake: When Axel is asking Lt. Bogomil to straighten things out with Inspector Todd during the conversation we get numerous shots from behind Foley's head. When he says "I guess I'm just out of a job. It's cool though" there is nothing in his afro. The camera then goes to Lt. Bogomil. After Foley tells him he is going to "start his own investigation company. How does that sound?" we get another shot of the back of his head. There is now a white piece of fuzz on the back left side of Axel's afro.
Continuity mistake: During the machine gun fire at Victor's house Rosewood holds up his badge and says "Police, you are all under arrest". The bad guys then shoot at Rosewood and Taggart. They shoot up a sculpture/planter above Taggart. A piece falls onto Taggart with part of it leaning against the planter and the top part leaning against Taggart's shoulder. The next shot the piece is shown standing on the ground leaning up against Taggart's head. It did not have time to relocate to the position it ended up in.
Other mistake: The bit part actor who plays one of Rosewood and Taggart's colleagues on the force is credited as "Owensby" on his desk sign (in the scene where Bogomil is asking where everybody is) and as "Owenby" on the end credits.
Continuity mistake: In the last scene (Victor Maitland's house) Taggart, Rosewood and Foley are hiding behind a small wall. After Rosewood says 'I hate machine guns', all three of them shoot back at the gangster, who is trying to gun them down. Foley shoots first, one shot and his gun is empty. One second later he shoots back once more (with the empty gun), and he reloads only after this.