Chitty Chitty Death Bang - S1-E3
Continuity mistake: In the flashback of Lois making a birthday cake, the cake has dark pink icing on the top and light pink icing on the sides. When Peter comes in to talk to Lois, the two colors have reversed. (00:01:35)
Continuity mistake: When Fry is queueing for the booth, he opens the piece of paper, showing the picture and writing. Just before he steps in to the booth, it's changed colour and gone blank, then in the next shot it's back as before. (00:07:45)
The Graveyard Shift / Krusty Love - S3-E13
Continuity mistake: In "Graveyard Shift," when Squidward says to that guy they think is the hash-slinging slasher, "If that was you on the phone and you on the bus, then who was flickering the lights?" look at the "order here" sign. It says "order hear" instead of "order here," which it reads in previous shots during this episode.