Factual error: When Bender is dipped in the baptismal oil the oil level in the barrel doesn't change; which it should because of the Archimedes Principle. (00:10:20)
Continuity mistake: When Fry is trapped in the Cryo-Tube we see the buildings being destroyed and rebuilt, the final city is rebuilt, Fry unfreezes and steps out of the Cryo-Tube and the buildings out the window are completely different. (00:02:30)
Saturday Morning Fun Pit - S7-E19
Revealing mistake: Near the end of the "Bendee-Boo" segment, while everyone is laughing, one of the Harlem Globetrotters' (between Amy and Leela) right arm keeps disappearing and reappearing several times in one shot.
Suggested correction: It's on purpose like the rest of the fourth wall Scooby Doo animation references.
Anthology of Interest 2 - S4-E3
Continuity mistake: After Bender gobbles down the plate of nachos, the beer he spills on the front of his shirt disappears in the next shot.
Continuity mistake: When Fry (Captain Yesterday) is falling after the gem, the clock is at 10:05. When he lands and we see the clock, it's 10:35.
Factual error: During the flashback of 2000, Fry's family is watching the Rose Bowl. Fry's mom, a Wisconsin fan, shouts "touchdown!" Then we see the score on the TV. Wisconsin 9. Standford 3. 2nd Quarter. However, Wisconsin never led 9-3 and didn't score a TD until the 3rd quarter. It was Standford that had the 9-3 lead in the 2nd quarter.
The Cyber House Rules - S3-E11
Continuity mistake: When Bender and Fry leave the kids' room, Bender shuts the sliding door closed. When he's calculating how much he's making, the door is open.
Continuity mistake: The way Professor Farnsworth holds Leela's jacket changes as he goes to give it to Fry and then Bender. He's holding it from the back at first, but in some shots he's holding it from the front. It changes in Bender's hands too from back to front.
The Day the Earth Stood Stupid - S3-E7
Continuity mistake: When Nibbler bites the balloon and goes flying up, you can see there's a big open space between the "cream" booth and the "soylent chow" booth. And there's no curtain partition behind the booths. When he lands, the booths are right next to each other and you see the curtain.
Continuity mistake: In the Hall of Presidents, Bill Clinton's head is above Jesse Ventura and Jimmy Carter. When he starts to hit on Leela, he's now sitting above Gerald Ford. Later he shifts again, being above Carter and Ford.
Amazon Women in the Mood - S3-E5
Continuity mistake: As Zoidberg goes to toss his old shell in the dumpster, there is a crack down the back. In a previous shot, we see the back of him for a second and there is no tear in his shell.
Continuity mistake: In the establishing shot of the science lab, Hermes' son is seen sitting next to a window made up of lots of panes. When he exclaims "My Manwich!", the window in the background is missing. (00:01:40)
Zapp Dingbat - S7-E5
Continuity mistake: When Turanga Munda walks down the aisle to marry Zapp Brannigan one of her tentacles changes color for a brief period. (00:16:00)
Continuity mistake: The hammer on Leela's blaster changes from smoothly curved to angular.
Continuity mistake: As Bender is stomping to stuff the whale down the sewer, when the rope gets to the pavement, the top where the cover is tied suddenly jumps from the level of Bender's head to below the spot where his legs and body meet.
Why Must I Be a Crustacean in Love - S2-E9
Continuity mistake: As Zoidberg looks around at the beach, he is suddenly up on his mound, and two females are suddenly in the scene without walking onto frame.
Xmas Story - S2-E8
Continuity mistake: While Fry is commenting on it being his first Christmas without his family, it can be seen that the door to the hallway is open. but when Hermes comes in, there's the sound of the door opening. Also, Hermes waves the two stacks of cards. The stack in his right hand has a red envelope in it that changes to white in the wide shot.
Xmas Story - S2-E8
Continuity mistake: When Bender starts serving the bird for everyone, you see a chair between Fry and Tinny Tim. In the closer shot, Bender is in between Fry and Tinny Tim where the chair should be.
Anthology of Interest 2 - S4-E3
Continuity mistake: In Leela's "What If" experience, the Cute Witch's wand suddenly goes from clutched in front by both hands to held out to the left side in a split second.