Other mistake: When Azula attacks The Western Air Temple, there is a close up shot of her when she says that she is about to become an only child. Pay attention to the smoke coming from the airship behind her, especially above her head: it doesn't move. Even if this was remotely possible, it does move when the camera zooms out, making it a mistake nonetheless.
The Ember Island Players - S3-E17
Other mistake: When they are watching the recap play Toph says she can't see it because they are on a balcony, but when her character comes on she describes him as buff.
Chosen answer: When Sozin says "So I wiped out the Air Temples," we are indeed seeing the three mountains of the Eastern Air Temple burning, with the two bridges being gone in this shot (S3-E6). This does conflict a bit with the image we see of the Eastern Air Temple, with the two bridges intact, when Aang and Appa fly to that Air Temple seeking Guru Pathik (S2-E19). This may possibly be considered a mistake, but the fact is that when we are seeing the burning of the Eastern Air Temple it's from the point of view of Zuko, who is merely reading from Sozin's autobiographical account, and envisioning everything he's reading, which in his mind includes the bridges having been destroyed.
Super Grover ★