The Secret Origin of Denzel Crocker - S3-E8
Factual error: Each time Timmy jumps through time, he goes back 10 years from 2002 (1992, 1982, 1972). However, some of the 80's references, such as Miami Vice, Flashdance & Back To the Future all came out after 1982.
Factual error: Even though the show is called "Samurai Jack", Jack isn't really a samurai. The correct title for him would be a Ronin as a Ronin loses their master if their master dies or loses favor with their master and also has no home anywhere. Jack has these attributes. He has no master and no home.
Suggested correction: Nor is his name really Jack. "Jack", and thus "Samurai Jack", is just an alias that the prince takes. It's not meant to be his title or rank. Just like Cowboy Jack wasn't actually a cowboy.