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.
The Ringer - S1-E1
Continuity mistake: When the Moblins attack Link in his room through a sort of trap door, the hole that is the door keeps changing locations, shapes, and the tiles around it all throughout the fight. Some points even disappearing entirely. (00:01:25 - 00:03:40)
Love 'Em and Leave 'Em - S1-E8
Continuity mistake: After Luigi says "Let's play cupid," he peeks around the corner along with Peach and Toad down at Mario going down the aisle with his "bride-to-be." Luigi, as expected, has been wearing green all episode, but when you see them peeking around the corner, Luigi's hat has become red. In the very next shot showing Luigi from behind, his hat has returned to green. (00:14:40)
Abra Cadaver - S3-E4
Visible crew/equipment: At the beginning of the episode, when the brothers chat around the central morgue table, the boom mike appears above the table, on the upper side of the screen. (00:04:55)
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)
Jimmy - October 14, 1964 - S2-E8
Factual error: The episode is set in 1964. When Frank and Jimmy first arrive at the dock and some of the dock workers are harassing Jimmy, there is a nice set of period appropriate cars in the foreground that the other dock workers are around, but in the background we see street traffic with 1980s cars driving by. (00:10:50)
The Kidnapped Prime Minister - S2-E8
Factual error: When the former Mrs. Daniels hops on her car followed by Hastings, between them you can see a speed bump, not a feature on roads in Britain (or anywhere) at the time. (00:36:55)