Continuity mistake: At the beginning of the movie, Eddie Murphy's character is trying out for the cop show. While arguing with the man trying out as chief, Eddie Murphy slams his hands on the table. When he does this, and throughout the scene, his gun holster and shoulder straps are clearly visible. But after he slams his hands down, and the camera cuts to the directors of the show and then back to Eddie, the holster is gone. The camera then cuts back to the directors and then to Eddie a second time, and the holster is back.
Continuity mistake: Robert De Niro and Eddie Murphy visit the crime scene where the house is demolished, and Eddie Murphy is sometimes seen through the recording video camera. The counter is first at the 55 minute mark, then changes to 21 minutes in the second shot, then 23 minutes less than a minute later, and finally the 26 minute mark approximately a minute later.