Faint praise perhaps, but The Bridges at Toko-Ri has to be in the top three. It was based on a slim novel by James Michener, who was embedded on aircraft carriers in action early in the Korean War.
The only major license taken in the book and repeated in the movie was the use of glamorous jets (Banshees in the book and Panthers in the movie) to drop the bridges. They and their puny bomb/rocket loads would have been used for anti-aircraft defense suppression instead, with Skyraiders doing the heavy lifting. Oh, and the F9F-5P shown here is an F9F-5 with a camera window painted on it - the real F9F-5P nose was 12 inches longer and didn't have four 20mm cannon sticking out the front of it.
Another is a very minor marking error on the actual F9F Panther used in the final scenes. The aircraft number is 209 but the number on the vertical fin is 4. It should be 9. (I checked the airborne footage before the crash landing; it doesn't appear that any number is on the fin of the aircraft being filmed.)
However, in this scene of CAG's crash in 21PP, they've taken the trouble to include Davis barrier straps being dragged as shown in the real barrier engagement of 109D shown above in black and white. In exterior closeups of the cockpits during the landing approach, the barrier engagement post in front of the canopy is extended. Compare it to the following picture, which is of an actual incident (the pilot caught one of the last wires and the barrier operator chose not to lower it).
It would appear that all of the scenes with airplanes were shot specifically for the movie, with no stock footage of the GB crash or other foolishness. It isn't immediately obvious that the scenes done with models weren't the real thing and they were good enough to win the 1955 Academy Award for Best Special Effects - no CGI back then. And I'm sure that most fighter pilots' wives look like Grace Kelly.
If you haven't seen it or seen it in a while and have any interest in carrier-based Naval aviation history, I suggest that you go buy the DVD from Amazon. Only $10. For men of a certain age, like me, it's also a great movie.