Revealing mistake: When Hightower throws the football to the hood, the hood flies back to hit the door. After he hits it, you can see the black wire that pulled him.
Revealing mistake: In the scene where Captain Mowser gets his hands glued to his head, he walks out into the locker room naked. In wide shots, you can see that he is wearing a nude coloured body suit.
Continuity mistake: In the beach chase scene, the sun is on the right side of the truck, in the next shot the truck goes flying off a pier with the sun on the left side of the truck.
Character mistake: When Tackleberry tells Mahoney that he thinks he's in love with Kirkland, he asks Mahoney to keep it "10-35." 10-35 is radio code for backup. Since Tackleberry wants his feelings for Kirkland to be strictly between Mahoney and him, he should be telling Mahoney to keep it 10-36, the radio code for confidential information.