Factual error: Billy, Kim, Rocky, Aisha, and Adam return to Angel Grove in the 1700's...and there are British Redcoats there. On the West coast, in California. England never deployed troops to California, especially considering it was part of the empire of Spain at that time.
Factual error: The climax of the episode features the Aquitain and Zeo Rangers fighting together, in Angel Grove. However, they are actually fighting outside the Tokyo Dome, in Japan. Further proof: http://www.rangergallery.com/albums/userpics/10012/Zeo%2520Rangers%2520and%2520Alien%2520Rangers.jpg.
Factual error: Bulk, Skull, and the Professor try to get in a Apollo Saturn V rocket to escape Earth. They head up the tower, and are seen getting into the ship via the thin pillar at the top - this pillar was used in case there was an emergency early on in the launch. Astronauts got into the ship in the Command Module, which was slightly lower down.