Factual error: In the balloon scene, it seems like Q can circle around and land on a spot where he flew past previously. A balloon can only fly in the direction of the wind.
Factual error: Chuck Yeager's sidekick, Jack Ridley, appears in many key events which occurred after 1957, including the climactic 1963 test flight of the NF-104 plane that Yeager ejects from and is picked up by Ridley. Jack Ridley actually died in 1957, when the aircraft he was co-piloting crashed into a mountain in Japan.
Factual error: When we first see Fatima Blush, she is waterskiing. She is doing several stunts, which are only possible with one ski, the most notable being skiing backwards with one foot in the air. However, when she releases the tow rope and skis up the ramp into James Bond's arms, she is on two skis. (00:45:55)
Factual error: During the St. Louis part, they show the Griswolds crossing the bridge into Missouri and *then* getting lost in what they title "East St. Louis." East St. Louis is actually in Illinois, so they would have encountered it before crossing the bridge. This has apparently been corrected in the video version.
Factual error: The caption says "twenty years later" before the main part of the movie starts. Now judging by the dates we've seen on-screen so far that would be in the reign of William and Mary, not Queen Anne.
Factual error: The supercomputer has the British spelling 'Defence' written on it, instead of the American 'Defense', even though the movie takes place in the USA.
Factual error: In one scene, our heroes go down a water slide with their bikes. Landing in the pool at the end would have made their walkie talkies unusable. But later they still work normally.