Character mistake: In the scene where the pilots and their wives are barbecuing, a jet flies overhead. One of the pilots says, "Hey look at that" and another says, "Yeah that's the D558 phase II, Scott Crossfield". In fact it is not the D558 phase II. The D558 phase II is the Douglas Skyrocket. Only three Skyrockets were built, in both jet power and rocket power, and they do not have wing air intakes like the jet shown flying by. Only the jet powered Skyrocket had air intakes and they were located on the lower side of the fuselage just above the front landing gear. (00:35:35)
Other mistake: When Yeager and his mate go to the Starfighter, the plane has no ladder to reach the cockpit.