Continuity mistake: Season 4, episode 10 "Ben 10 vs. The Negative 10, Part 2": When the Forever King makes his announcement "Nothing will stop this little home-coming", he stands outside the Mount Rushmore base on bare soil. But in the scene where Max reviews the recording of this speech, all of a sudden we find the Forever King standing on a neatly tiled floor.
Sam: Part 1 - S1-E7
Other mistake: When the Ranger first yells "SPD emergency," a piece of Jack's Morpher breaks off.
Sozin's Comet (1): The Phoenix King - S3-E18
Continuity mistake: When Aang is waking up on the giant lion turtle, he is not wearing shoes in the first shot, but in the next shot, he is.
Factual error: Haloclines are referred to throughout, and depicted occasionally as some sort of underwater tornadoes. Haloclines are in fact just salinity gradients, and look nothing like they do on the show.
Continuity mistake: When the kids in the chorus become possessed by the ghosts and run out of the room, Juniper is standing alone by the piano, still wearing the chorus robe. In the next shot, the chorus teacher is now standing next to her, and she is not wearing her robe.