Visible crew/equipment: When they return to Enterprise after their successful mission, Iceman points and shouts, "You!" at Maverick. In the shot facing Maverick as he turns his head, the reflections of the camera and large reflector screen are visible on Maverick's sunglasses. Also, note the lack of a crowd of people behind Ice in the reflection. (01:40:45)
Factual error: Before "classes" begin, the pilots are told that they would be flying against planes that are faster than their F-14's. The F-14's top airspeed is over 500 mph faster than the F-5's, and more than DOUBLE that of the A-4.
Character mistake: In the opening scene is a paragraph describing why the Top Gun school was started. The word "insure" is used when the word should have been "ensure". They wanted to guarantee the U.S. had superior pilots, not take out an insurance policy.
Continuity mistake: In a scene soon after Cruise's partner dies, when he's flying with his new partner, you can see his call sign on his helmet, but when they get on the ground and he's talking to Cruise, all the letters on his helmet are removed.