Revealing mistake: In every in-flight cockpit scene a brass hand wheel is visible on the right side of the headbox of the seat. The only time this hand-wheel is installed on the seat is to disconnect the seat from the aircraft and to disarm the seat. Therefore, the plane and actors in those scenes were on the ground with a moving camera because there is no way that an F-14 would be allowed to fly with "dry" seats.
Revealing mistake: The aircraft the American pilots are fighting against at the end are described as being "MiGs", but they are American F-5 jets, called Tigers, which the Navy is still using for the training of young pilots.
Revealing mistake: You can tell the scene where Goose dies is done in shallow water instead of the middle of the ocean, where it should be, because in the shot right after Goose splashes down into the water, Maverick takes a few steps to get to Goose instead of swimming over to him.