Corrected entry: Often while traveling through space, we can see the stars in the background moving (as if the Futurama cast were in a car and the stars were street signs). This would not happen in reality, unless one was traveling relativistic speeds (even then, the motion of the stars would look very different). Instead, the stars should be still (the sun doesn't appear to move when you're out walking).
Corrected entry: The sergeant refers to Fry's grandfather Enos by his first name, something that would never happen. A superior officer - especially a non-com - would refer to him as "Fry", "Private" or "Private Fry". No army sergeant ever referred to an enlisted man by his first name.
Corrected entry: The other poker players confront Bender about his cheating using X-ray glasses, and he grabs the poker chips off the table and runs. What's the point of that? The other players know he's been cheating and they won't cash the chips - they are worthless plastic.
Corrected entry: According to David Cohen, Mom's third son Igner (the rather dumb one) is the illegitimate son of Prof. Farnsworth (which explains the character's hair). While it has been shown that Mom and the Prof. had a relationship across a few episodes, there was not enough time in the series before cancellation to reveal this particular result of that relationship.
Corrected entry: During this episode, Fry and his girlfriend attempt to freeze themselves until the year 4000. It turns out they were only frozen for two days. So the tube shouldn't have opened. The only way the tubes open is when the time runs out or someone from the outside opens it.T.Rex.Sheffield.Can+Ash
Corrected entry: When Leela asks Alcazar why he held all the weddings on the same day, he replies that hiring a shape-shifting suit is expensive, but he would only need to hire a shape shifting suit if he was holding the weddings on the same day, else he could just have five different suits made. (00:20:00)Sanguis
Corrected entry: Bender takes everyone to Elzar's to tell them about Angleyne, the new love of his life, and he finishes his description of her by telling them that she is very lucky to be going out with a handsome and talented robot. "She sure is!" says Fry. "Look!" - and he points out Angleyne, sitting at a table with Flexo. How did Fry know that was her? They haven't met before - Bender is treating them to dinner to tell them about her. She and Flexo are not the only robots in the restaurant, and Bender has not yet described her appearance. Fry must be psychic.