Visible crew/equipment: In the scene after Maverick and Goose were told that they would be going to Top Gun the next scene shows Maverick on the runway riding his motorcycle as planes fly by. If you have your DVD settings on full screen you won't notice this but on wide screen you will. You can see the motorcycle that he is riding is strapped down to a trailer with 2 blue tie-down straps. Also, if you listen and watch closely you can tell that Maverick is not shifting and giving gas to the motorcycle at the right time. The only reason I know this is because I have been riding for over 10 years. If you give a sport-bike like that gas, it goes. He gave gas and it never even moves on the screen. Hard to do when you are strapped down to a trailer.
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)