Continuity mistake: After the accident when Fry looks at his body, there is a tool kit or something similar more or less right in between the body's legs. In a few moments there is a shot from above and the kit is several feet to the right of the body without anyone touching it.
Add timeDavid Mercier
Other mistake: When Fry is talking to Leela (After being stitched onto Amy's body), he asks for some privacy from Amy, who puts her fingers in her ears and begins singing a song in Chinese. At one point, when it shows a close-up of Fry's head, you can barely see Amy's head, and the finger disappears and reappears near her nose, then suddenly reappears back in her ear.