Bart Gets Hit By a Car - S2-E10
Other mistake: When Marge is being questioned, before she says 'If you don't have anything nice to say, then don't say anything at all', there is a shot over her shoulder looking at the blue haired lawyer. Not only is he (the lawyer) there directly in front of her, but he is also sitting on the bench with Burns. In all other shots his chair is empty as it should be.
Hair By Mr. Bean of London - S1-E19
Continuity mistake: In the scene at the country fair, Mr Bean interrupts a boy doing the buzzer game. When Mr Bean is on his second go at this puzzle and stands up after unplugging the device, you can see the same boy come round a table behind Mr Bean. Cut to the next shot, the boy has disappeared from where he should be behind Mr Bean and can now be seen walking across the back of the hall.
Chûgoku kara kita aitsu! Chotto hen!! - S1-E1
Other mistake: When Ranma is battling Genma at the very beginning, she slides into the main road. Behind her is a vending machine for drinks, only, it's marked "DOLINK" (bad transliteration). (00:03:00)