Corrected entry: The lab has a santa-proof outer layer that covers the windows, but at the end, you cab see that the window behind them all isn't covered.
Corrected entry: When Nixon tries to go to the phone to call the police, he moves to the armrest. But when Bender plays his tape, Nixon moves back onto the seat.
Correction: Because of the angle it looks like he is sitting on the seat, but you can see he still is sitting on the armrest.
Corrected entry: In the first scene in the place where Fry gets frozen, you can not see a bin anywhere but when Fry says I.C Wiener a bin just appears from nowhere.
Correction: The bin is hidden from view by the desk in the first shots of the cryogenic facility, so it is impossible to say if it's there or not.
Corrected entry: When the Planet Express spaceship approaches the Orbiting Graveyard, both the inner and outer doors of the airlock open at the same time. Since the graveyard is pressurised and we can see there are no other doors, that is going to cause some problems.
Correction: Futurama tries to keep scientifically accurate from time to time but many times bends this either for comedy or simply it doesn't matter to the storyline. For example the creator's admitted that it would be impossible for many of the famous heads to still be around in the year 3000, but they didn't care because it was funny.
The Farnsworth Paradox - S5-E10
Corrected entry: In "I Dated a Robot" the gang travel to the edge of the universe and see their parallel cowboy selves (which Farnsworth stated was the only parallel universe). In this episode, the box leads to a different (non-cowboy) universe where the outcome of flipping a coin is different. They then all go through many boxes each with many more parallel universes in them. David X Cohen mentions that this is a mistake on the commentary.
Correction: Even though David X Cohen has admitted it I fail to see the mistake. Up to discovering the various parallel universes in boxes, they thought that the cowboy universe was the only parallel universe. They were clearly surprised when they ended up in the parallel universe with the opposite coin flips, and since "I Dated a Robot" was produced and aired before "The Farnsworth Parabox" there is really no problem continuity-wise.
Corrected entry: When Fry is cryogenically frozen, alien ships destroy all of New York. Later in the episode, it shows most of the buildings in Old New York intact, only with the Empire State Building having fallen over and New New York being built on a platform above it. If all Old New York had been destroyed/built over, why was the cryogenics building intact and in New New York?
Correction: We don't know that the aliens destroyed "all of New York". We see them destroying maybe half a dozen buildings. Even in the most devastating air raids, some buildings survive, and in this case the Cryogenics building happens to be one of them.
But there is one more question, all the old buildings are underground but somehow, the cryogenics building is above everything else. Why?
Anthology of Interest 2 - S4-E3
Corrected entry: While it is understandable that a life of unrestrained gluttony is going to make human-Bender hugely obese, it also seems to roughly double his height. How does that happen?
Correction: Because the amount of fat would be a bit like a large pillow. When we see him on the stage he has gained a vast amount of weight and because of the extra weight it has expanded all around including below him. In any case its perception that he is twice as large in height. The position of the stage and the large amount of weight makes him look much larger.
The Honking - S3-E1
Corrected entry: When Leela has finished welding Bender to the wall, in the next shot (when she takes the mask off) the welder itself has simply vanished.
Correction: She drops it into the bag behind her.
Bender Should Not Be Allowed on TV - S5-E15
Corrected entry: Whenever the Network Execubot is talking it appears in a box with a scroll bar like it was just a file playing. Naturally if it were actually talking this would not happen. I think it must be a deliberate mistake, making fun of this sort of error that often happens in films (there is a good example of this in Jurassic Park), as it's ridiculous that they would have animated this and not realised the error.
Correction: This is a gag, not a goof, EXACTLY as you noted. There is no goof.
Corrected entry: When Bender shows everyone the card he got for Mom, he opens it and you can hear a melody play before the card says, "I love my mommy". Later, when Fry and Leela are leaving the robot museum, Leela reminds Bender to tell Mom that he loves her. Bender tells her that anyone can say that and that he has something else in store. Bender opens up the card, but this time you don't hear any melody being played. You only hear the card saying, "I love my mommy."
Correction: Later in the episode you find out that the card is a robot with a mind of its own so it probably didn't want to play the melody.
Corrected entry: Calculon says in this episode that as a robot he never sleeps at night. But we have seen Bender and numerous other robots sleep on several different occasions - he even dreams about "killing all humans" when he is asleep.
Correction: Calculon could be a model of robot that doesn't require a "sleeping" period at night. Alternatively, it could be unnecessary for robots to sleep, but in order to conserve energy when they don't need to do anything they go into a state of low power consumption, seeing as it would probably take energy for a robot to stay turned on, and what would be the point of being turned on while all humans are asleep and unable to give the robot orders?
Corrected entry: This is the only episode in which Bender doesn't mention he drinks to power up his fuel cells, in fact he say "I can quit anytime I want" when Fry challenges him about it. Clearly the writers hadn't decided that this is why he drinks, as in later episodes he explains all the time. (00:10:00)
Correction: In the episode where Bender converts to religion, he reveals he can drink clean efficient oil instead of alcohol, presumably meaning he can power up his cells without drinking beer.
Corrected entry: Bender is surprised to know that the Ultimate Robot Fighting League is the most brutal form of fighting in the universe, yet at the beginning of the episode he claims that he loves "The Masked Unit", a well known fighter in the U.R.F.L, so how could he not know something like how dangerous a sport that he loves is?
Correction: Even though he knew it was fairly dangerous, he obviously didn't know it was the MOST dangerous form of fighting in the UNIVERSE.
Fry and the Slurm Factory - S2-E4
Corrected entry: At the planet with the Slurm, when they first meet Slurms MacKenzie, Fry gets some goo on his hand. He wipes it off on his pants and when he is doing so, the goo just disappears from picture. (It doesn't even fade a little).
Correction: How do we know how Slurm reacts with the fabric of Fry's clothes? We don't know the properties of either.
Corrected entry: In this episode, it is revealed that only male robots have antennas. However, in "The Honking" (series 3), a fembot is seen crying at a funeral by pumping her antenna.
Correction: In 'Bend Her' we see that robot gender is a pretty flexible concept - "she" could be a "he", or both (or neither.).
Teenage Mutant Leela's Hurdles - S5-E7
Corrected entry: It is explained in the episode "A Clone of My Own" that when you reach 160 years old you are taken by the Sunset Squad to the Near Death Star. Why is it, then, when the Neptunian used the age machine, she didn't immediately inform the Sunset Squad? Surely, she couldn't have known that Farnsworth had once escaped from the Near Death Star with the aid of his crew?
Correction: It's never said that what the sunset squad do is legal. They may just be robot rebels who have decided that they know best for the old humans. It's unlikely that they'd ever be found, because Zapp is the head of the Earth's defence forces, and he is amazingly inept. It's certainly never said that anyone agrees with what the Sunset Squad do, just that it's inevitable, and it's unlikely that anyone knows how to contact them (after all, it took the Smellascope for Fry and co to find them).
Corrected entry: In "Space Pilot 3000", when the Professor gave Leela, Fry and Bender the old crew's career chips, they were in an envelope with "Contents of Space Wasps Stomach" written on it. However, in this episode, it is shown they were killed while trying to take honey from Honey Bees. Wasps (Polistes species) and Honey Bees (Apis mellifera) are two totally different species.
Correction: Yes, but Space Wasps (Polistes astra) obviously prey on Space Bees (Apis vonbraunia) and while eating a fresh kill they ingested the chips. Glad we cleared that up. (Neither species exists. The rules don't apply..).
Corrected entry: When the Professor and Mom's clothes are thrown around the bedroom, their teeth are in jars next to the bed (they are definitely theirs as they comment on it on the DVD commentary.) The problem with this is that both of them are "wearing" their teeth, as can be seen when they talk.
Correction: Like most people, they have two (or more) pair of dentures - one is being cleaned, one is in use. Nothing unusual about that.
Corrected entry: The 3 coloured balls Bender and Kissinger are talking to move position several times - instantly, particularly the purple and blue ones on the outside.
Correction: Watch the scene. They are floating about aimlessly all the time. Of course they change places.
Corrected entry: It is revealed in a later episode that Leela wears a bracelet under he her wrist device. She isn't wearing it when the device escapes her wrist, although the bracelet is the only thing she has of her "true identity".
Correction: You have provided your own correction. 'In a later episode ...' Perhaps the significance of the bracelet (the link to her childhood) wasn't apparent until some future event (which we don't see) and she had it in her jewellery box, pocket, bank vault, whatever, until that point?
Correction: That's because Santa has already passed their house (delivering Zoidberg's present, etc.) so they don't need the armor any more.