Continuity mistake: When Mr Burns tells Homer to wreck something, Homer throws a plant pot onto the floor and it breaks into several pieces. When Mr Burns tells Smithers to take him home, the pieces of the broken plant pot are nowhere to be seen.
Continuity mistake: In the meeting with Mr Burns and his advisers, one of the advisers holds up a photo of a guy who dated Mary Bailey and the adviser's tie is green. When he is sitting down in the next shot, his tie is now yellow.
Continuity mistake: When Mary Bailey has a group of interviewers around her her tie is blue, but in a close up of Mary in the next shot, her tie is purple.