Deliberate mistake: 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: The first supersonic flight of the Bell X1 was flown in total secrecy. The news of the flight was not even released to the press until January 1948, three months after Yeager broke the sound barrier. Yeager's wife and the owner of the local bar were most certainly not present.
Factual error: In the Vostok launch clip, it shows Yuri Gagarin lifting off at night. The actual liftoff occurred during the day, at 9:07 AM (Moscow Time). Plus the rocket shown in the launch clip isn't even a Vostok rocket, it's a later variant used by the current Soyuz spacecraft. (Evident by the color, and on the top of the rocket is a Soyuz escape system).