Continuity mistake: Level 5 "Mob Rules" cutscene: When Martin runs out of Sequel Stop with his new game he stops Ned, and in the first shot Ned's car does not have an antenna, but when Martin pulls Ned out of the car suddenly there's an antenna at the left side of the windshield, then as Martin drives away the antenna is now at the right side of the windshield.
Continuity mistake: Level 5 "Mob Rules" cutscene: When Marge reads the newspaper and Martin runs out of Sequel Stop with his new car-jacking game, there's a row of zebra concrete barriers behind the church, but when Martin pulls Ned out of his car and starts to drive off all those barriers have vanished, then they reappear again.
Continuity mistake: Level 9 "Invasion of the Yokel-Snatchers" cutscene: When Cletus tells the aliens that he spent all day clipping coupons for a "flat screen magic picture machine," we see the building behind him has nothing on its roof, but in the next shot a huge billboard has suddenly appeared on that building's roof.
Continuity mistake: Level 12 "Grand Theft Scratchy" cutscene: After Senator Clinton congratulates Marge and Lisa for their great work a large sign falls on her, and when the bag appears with the keycard inside, in the closeup the bag's strap is lying at the back of the bag under its flap, but in the next shot that strap is now lying on the opposite side of the bag, at the front, and the bag's position on the sidewalk changes as well.
Continuity mistake: Level 16 "Game Over" cutscene: When Bart grabs the save games and threatens to destroy it, we see the front labeled "Memo: Planet Earth..." and the back is blank, then when Bart holds it up the front is facing forward, but in the next shot the label faces the opposite way, note Bart's thumb.