Corrected entry: Just after the turn of the millennium into 2000, Fry falls back into the space capsule set for exactly 1000 years. So why does he wake in 2999, a few hours before the year 3000?
Corrected entry: When Fry and Bender are in the Suicide Booth together, Fry understandably dodges the cutting implements that the booth attacks with. However, Bender did actually want to die, so why would Bender dodge them too?
Corrected entry: When Fry is walking down the street after escaping from the cryogenics place, a billboard changes from "the Implant Hut" to "Bachelor Chow" but the piece with the 'm' doesn't change. (00:05:55)
Correction: That's the billboard malfunctioning, not a mistake on the show's part.
Corrected entry: When Fry and Bender run into the head museum, they're greeted by Leonard Nimoy. Fry refers to him as Spock, which he chuckles to. Yet in a later episode (4-12 "Where No Fan Has Gone Before"), Nimoy denies the name Spock due to Star Trek being forbidden on Earth.
Correction: He admits to knowing the name in private, but won't do so in public - he'd be admitting to a crime.
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 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?
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.
Correction: Because there are not exactly 24 hours in a day. The computer in the capsule is set to exactly 1000 years. Alternatively, the city was destroyed several times as you can see in the background, so there may have been numerous power fluctuations.
Soylent Purple
His building would certainly have been destroyed as well.