Audio problem: When Horst is checking the power plant, he sees some radioactive liquid pouring out of the chimney, he says "That shouldn't be" but his mouth doesn't move when he says "be". When he spots the raccoons he speaks but his mouth does not move at all. And at the end when Mr Burns is mocking the German men, Horst says "Burns, stop it." but his mouth doesn't move.
Other mistake: After the scene where Mr. Burns gives Smithers his picture of him and Elvis Presley, Homer asks Lisa a couple of questions about Germany. At the beginning of this brief scene, Lisa is reading a book, and from her point of view, her eyes are moving from right to left, which shows she is reading the wrong way on a single page. (00:11:10)
Continuity mistake: As Mr. Burns and Smithers are talking on the phone, we see a hand holding the receiver, and when they're finished, the next shot shows us a black skinned referee. His skin color was yellow before. Also, the phone is nowhere to be seen. (00:15:55)
Continuity mistake: There are several errors in the plant's parking lot: 1, in the overhead shot of the plant, we see Homer drive in, and there are parking barriers on the road. These disappear in the next shot. 2, As he drives in, there are at least eleven parking spaces on the right side of him. Carl takes up one spot, and in the next shot there are about 3 parking spaces left. 3, When he parks, we see several cars behind him, but in the shot before that, no cars are visible, not even parking spaces, and 4, when both Homer and Carl drive in, we see orange lines on the road, which weren't visible in any other part of the scene. (00:07:00)