Futurama (1999)

My Three Suns - S1-E7

Plot hole: Whenever Leela arrives and everyone starts beating up Fry to make him cry out the emperor, it shows Dr. Zoidberg pinching his leg and later, sitting next to the wall, tired out with Bender and Amy. However, if he's there, then what is keeping the Trisolians from coming through the hole in the door that Zoidberg was plugging with his claw? (00:19:40)

A Big Piece of Garbage - S1-E8

Plot hole: In this episode the mayor says that New New York has been garbage free for 500 years, but in most other episodes there's been tons of it lying around on the streets. (00:17:45)

rabid anarchist

Fry and the Slurm Factory - S2-E4

Plot hole: Fry, Leela, and Bender all went downward several feet when the slurm river goes through the pipe, yet are still level with the fake slurm factory that they were in before.

Meanwhile - S7-E26

Plot hole: After Fry dies falling from the building and Leela presses the button, Fry tells the story bit by bit while dying. But every time Leela presses the button he should start the story from the beginning.