
Continuity mistake: After Meng gives Aang the tray of food and Sokka takes it from him, Aunt Wu shows up, and it shows a shot facing her front. In this shot, Katara's back braid is missing; then it reappears a moment later. (00:07:05)
The Southern Air Temple - S1-E3
Continuity mistake: When Gyatso is laughing in Aang's flashback, he is missing quite a few teeth. But when Aang finds his skeleton, all his teeth are still in place.
Continuity mistake: When Aang emerges from the water on the giant sprout in The Avatar State, the arrow on his head is not glowing.
The Northern Air Temple - S1-E17
Continuity mistake: When Aang, Teo and Katara are walking up to the door of the Air Temple Sanctuary, the pipes which make it open are in a horizontal position, but in the next shot, they are vertical. (00:09:20)
The Boy in the Iceberg - S1-E1
Continuity mistake: In this episode, Katara remarks that "This ship has haunted my tribe since Gran Gran was a little girl. " However, in the episode "The Puppetmaster" it is revealed the ship wasn't beached there until Gran Gran was in her late teens or early twenties.
Suggested correction: If Gran Gran was really in her late teens or early twenties during the Southern Water Tribe raids, that can still be considered a "little girl," since she is in her eighties in the show.
Suggested correction: You sure that was the same ship, and what's 5-10 years give or take compared to Gran-Gran's life anyway?
Imprisoned - S1-E6
Continuity mistake: When the gang meets Haru, Katara teleports from behind a log (shoulder still visible) in one shot to greeting Haru several yards in front of the log a split second later. (00:02:50)
Suggested correction: That's because the second shot is a jump cut. The trio first sees Haru from behind the log, and after Sokka says, "He looks dangerous, so we better approach cautiously," the scene jumps forward in time to Katara greeting Haru further away from the log. Katara simply got closer to Haru, which was not shown.