Continuity mistake: When April arrives at her apartment, she places down a folder like object, and then puts some paper and her keys on them. Next she places her purse on top of the left side of the objects. Moments later, after she goes upstairs, the Turtles come in through the window next to the stuff she sat down. Now the purse is on top of the right side of the items, and the strap is in a different position.
Continuity mistake: When the Turtles first arrive on screen behind Keno, they leap over the boy to attack the thieves. Their order from left to right when they walk up is Mikey, Leo, Donny, then Raph. The very next shot shows them in the air, and the order is now Mikey, Donny, Leo, then Raph. Donny and Leo switched places between shots.
Continuity mistake: When the turtles are watching April interview the scientist on TV, Raphael throws the TV Guide which lands on the table behind Michelangelo with nothing on it. After Raphael complains about Michelangelo chewing the candy bar loudly, he stands up and not only has the TV Guide changed positions, it's now lying on top of another dark object that wasn't there before.
Continuity mistake: The Ooze canisters look completely different from the first movie. The canister in Splinter's flashback was the same shape but had a different label, marked "Radioactive Material" with black and yellow bars. In this movie the canisters had a plain TGRI printed in black. Also Splinter refers to the canister as being broken in half, but in his flashback it is intact.