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: After the 80's guy dies, Fry decides to vote against selling the company to Mom. 80's guy owned 51% of the shares while Mom and her sons owned the rest, putting the "Yes" option at 99.99% (one son made an error). But when Fry votes "No", Mom's 49% has swapped over to the "No" option to give it 100%- indicating Mom didn't want the sale to go through either.
Corrected entry: When everyone goes to Mars to visit Amy's parents (and celebrate Mars Day) it is shown that Mars is, like today, a red, desolate wasteland of dirt. However, in the episode "Mars University", Mars is shown to be filled with jungles and plant life. Maybe that is the hemisphere that the Wong family doesn't own, but if that were true, then why would Inez (Amy's mom) say they had the best hemisphere when the other one is, theoretically, filled with grasslands and jungles et cetera?
Corrected entry: When the small civilization that thinks Bender is the "Metal Lord" annihilates each other with atomic bombs, mushroom clouds are formed. This is impossible, as mushroom clouds would only form in a space with a multi-layered atmosphere, something Bender is definitely lacking.