Factual error: In the car at the beginning of the movie, Jean uses her telekinetic powers to switch the radio from a station playing "By the time I get to Phoenix" by Glen Campbell to Warren Zevon's "Werewolves of London." It's 1975, and Zevon recorded the song only in 1978 (although the song itself had already been written in 1975, other artists played it in live concerts in the Fall of that year). (00:01:30)
Factual error: The space shuttle is spinning due to a stuck thruster. In such a case, the spin would be continually increasing as there is no air resistance. The X-Men shoot out of the thruster and the spin stops. Not factual. They would have needed opposite thrusters to stop it. (00:11:55)