Since nobody's mentioning it, realize that there is a whole other level of qualification you need if you want to fly for the movies -- a SAG card!
I recall reading in "Air Classics" back in the early 90s about the pilots who flew the replica 1930s air racers in the movie "The Rocketeer". These three or four pilots (I know they included Steve Hinton, John Maloney, Kevin Eldridge, and Rick Brickert, but there were others I just don't remember off hand) were some of the only guys qualified to fly these replica racers, but apparently they couldn't fly in the movie without being a member of the actors' union.
The problem is, you can't just up and join SAG -- it's sort of a Catch 22, where you have to fulfill one of a long list of criteria in order just to apply to the union, and anyone who has not been a struggling actor hasn't done any of these things (a.k.a. none of these pilots qualified).
IIRC (it's been 15+ years since I read the article, so I don't remember exactly) there was a way that you could get some kind of "voucher" to join SAG every time you participated as an extra in a movie. If you collected 3 or 4 of these vouchers, that was a ticket to join the union. I think these pilots somehow worked as extras enough to collect enough vouchers to join SAG...and thus fly in the movie.
I wish I could find that article...a quick Google turned up nothing...but I remember it being a very interesting story at the time.