(at around 13 mins) When Hedges goes to the academy, he rides a Cadillac limousine but when he arrives at the academy, he is riding a Lincoln limousine.
(at around 26 mins) There is a jump cut when the German Shepherd rips Bud Kirkland's sleeve off. First, Bud catches the sleeve thrown back to him by Hightower. In the next shot, the sleeve is already back on Bud's arm.
(at around 19 mins) After Hightower and Mahoney help Nogata and Adams from the cab driver, the cab starts but doesn't drive off. The cab disappears when Adams walks off.
(at around 40 mins) Just before Hooks and Fackler's car goes airborne, the car comes to a complete stop.
(at around 54 mins) During the song by Sgt. Hooks and Lt. Callahan at the Policeman's Ball, the camera alternates between shots of Lassard's cadets having fun while Mauser's cadets stay in their seats and show no emotion. When it goes to a wide shot of the room, you see Mauser's cadets dancing.
Lance Kinsey who plays Lt. Proctor is actually wearing Captain's Bars on his shoulders and as collar devices however his name tag also says Lt. Proctor. You can see the other characters who are Lieutenants actually have the correct single bar versus the 'train-track' double bars.
(at around 36 mins) The people at the police line-up do not resemble the suspect at all. For evidence from a lineup to be admissible in court, the line-up must include people who have the same general appearance of the suspect.
(at around 53 mins) While the gang is playing music at Policeperson Ball, Jones was playing a guitar with no strings. This is probably an intended joke, as Jones can effectively impersonate a guitar with his noise making skills.
(at around 51 mins) In the ball scene when Copeland puts his hand in the punch bowl and stains Mrs Hurst's dress if you play in slow motion you can see the stain is already there.
(at around 52 mins) When Proctor is naked in front of the hotel elevator, his boxer shorts are visible.
(at around 5 mins) When the governor makes his speech about closing one of the academies, note the three people in the audience directly behind him. A little girl, a lady, and a man in a tie. When he says "Isn't that true, Commandant Mauser and Commandant Lassard?", the camera supposedly pans to them (who are seated to his left). The same three audience members are somehow directly behind them too.
(at around 52 mins) When Proctor and the stripper were in the hotel room, she ushers him out of the room and you can clearly see "416" on the door. But when he finds he's locked out, the # above his head says 419.
The license plate number 'ALK 201' is seen on at least 3 different cars within the first half of the film alone.
(at around 1h 17 mins) George R. Robertson's character is listed in the end credits as Chief Hurst, though in the movie he is referred to as Commissioner Hurst.
While Laverne Hooks and Callahan are singing with the band on-stage, the guitarist of the band is playing the guitar back to front.
After the parade when Mauser is trying to brown nose the Governor, Sgt Jone's chevrons are missing from his left arm, yet other police officers are shown on their left arms.
(at around 6 mins) When Proctor says, "Sir, the committee..." his lips don't move.
(at around 1h 13 mins) When Proctor and Mauser are trying to get back into the overturned boat, you can see the top of a crew member's head on the backside of the boat holding the boat for them.
(at around 1h 12 mins) This movie is set in the United States, but when Lassard is looking through his binoculars at the regatta, you can see the CN Tower (from Toronto Ontario Canada) in the background.
(at around 47 mins) When Cadet Nogata is talking to Sgt. Jones about Lt. Callahan, he refers to her as "Sgt." Callahan.