It Came from the Depths - S1-E12
Audio problem: Before Mike runs off to fight the kraang who were attacking Leatherhead, Michelangelo's and Donatello's lips don't really match what they're saying.
Continuity mistake: After their victory, the Turtles are celebrating and partying. Just before the episode ends, Leonardo is dancing on a white mat and doing the moon walk. It cuts to a higher angle and suddenly the white mat vanishes.
The Mutation Situation - S2-E1
Plot hole: The Krang ship carrying the shipment of mutigen is small, about a scout class ship. And it is seen flying past April and only a little bit above the top of the lower buildings in the city. The turtles have time to fight for a bit allowing the ship to get quite far away from April and her father. Yet Mikey accidentally causes all the canisters of mutigen to fall out of a hole in the floor and most are seen falling directly straight down towards the street, the ship being only about 5 to 8 stories above the ground. Yet somehow when it cuts to April seeing this, suddenly the sky is full of and raining canisters all over the city. And if cuts to her face even showing them raining down behind her. Which makes no sense because of how low the ship was, the canisters falling directly straight down in a tight cluster, and the ship having passed April a while back.
Audio problem: When April, Casey, Donnie, Mikey, and Leo defeat the creep, Casey says, "That's what you get for messing with my mask, freak." When he says "mask," his voice changes.
Audio problem: In the living room in the farm house Leonardo is healing in the living room when Leonardo says "I can't stop thinking about Master splinter maybe he's not not really gone," his lips go out of sync.