Other mistake: The Air People were wiped out by the Fire Nation through Suzon's Comet enhancing them, we even have confirmation of this by the dishevelled exposed skeleton of a VIP of them (presumably any Air Nomad who escaped would have given Monk Giatsu honorable burial), but we never see scorch marks on the Air Nomad buildings or the aforementioned skeleton.
Avatar: The Last Airbender (2005)
1 other mistake in show generally
Starring: Dee Bradley Baker, Mae Whitman, Jack De Sena, Zach Tyler
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. (00:22:35)
The Cave of Two Lovers - S2-E2
Iroh: Where are we going to go? We are enemies of the Earth Kingdom, and fugitives from the Fire Nation.
Zuko: If the Earth Kingdom discovers us, we'll be killed.
Iroh: But if the Fire Nation discovers us, we'll be turned over to Azula.
[Iroh and Zuko give each other a meaningful look.]
Zuko: Earth Kingdom it is.
More trivia for Avatar: The Last AirbenderMore questions & answers from Avatar: The Last Airbender
Chosen answer: Toph had Katara use it to send a letter to her parents. It never returned.