At the wedding, the robot police officer is seen in the crowd with pink for his helmet and yellow for his visor, but after cutting away and back, his helmet have returned to their normal colors.
At the nude beach, when the aliens have scammed Bender into providing his email address, there is a quick shot of the electronic clipboard's screen as he hands it back. Above Bender's email address is Amy Wong's. Next the aliens are approaching Lelia and Amy for the first time.
The Christmas tree bomb goes from being upright (when Lars deactivates it), to lying on it's side when it is seen again a moment later.
After travelling back to the year 2000, Fry spends several years taking care of a captive narwhal. This could never happen because narwhals are incapable of being held in captivity. Scientists have yet to figure out why, but when put into captivity, narwhals' vital organs start to slow down and continue to drop until they are either released or die, with none living more than around 2 months.
Al Gore's 'Hybraxi' hybrid taxi has rear wheel spin when he takes off, but the Toyota Prius actually has front wheel drive.
After the naked aliens scam President Nixon out of Earth the Planet Express crew is shown living on the surface of Neptune. However Neptune is a ice giant and has no solid surface, except for it's core, which is not made out of ice and snow, but rock and metal, mostly iron and nickel. Plus the pressure and temperature at the core would be far to high for the existence of ice and snow, like is shown. Plus anyone that was to travel to the core of Neptune would of been crushed by the intense pressure.
Only the male of the Narwhal whale species has a tusk. Leelu is a female. However, it is a very rare case when female Narwhals have tusks, which was referenced as Leelu being a "rare horned female narwhal."
Bender visits Yancy's house and meets his son, Phillip J. Fry. In The Luck of the Fryrish, Yancy named his son after his brother who disappeared. But Fry travels back to the time right after he got frozen so he never really disappeared in that timeline, so there is no reason for Yancy to name his son after his living brother. However, given the information that Fry learned in Fryrish, combined with the montage showing Fry truly appreciating his family in the new timeline, the idea that Fry had developed a strong relationship with his brother in the years that followed isn't far fetched.
In "The Devil's Hands Are Idle Playthings," after Bender made a deal with the Robot Devil and deafened Leela, Leela made a deal with the devil to restore her hearing, which he did with Calculon's ears. In Bender's Big Score, however, she has recovered her hearing and has no robotic ears. However, it has been at least two years from "The Devil's Hands are Idle Playthings," making it entirely probable that she could have received enough treatment to no longer need the robotic ears.
The Nobel peace price is presented in Oslo, not in Stockholm as depicted. Since the time stamp on that particular presentation is 2308, however, there's sufficient time for the Nobel Organization to move the location. Also, there were no contextual clues to point to Stockholm being the location presented.
As Farnsworth enters his account information, the numbers he reads are already visible (albeit faintly).
At 1 hour & 3 minutes in, during Lars & Leela's wedding, a man standing at the very back of the church has his eyes jump from being perfectly on his face, to having one eye on and another floating in mid-air. Obviously, the Korean animators goofed a little in photography, and the slides for that scene had the man's eyes just off mark.
When Amy, Nibbler, Leela and the nudist alien scammers are at the Nude Beach Planet, Amy is accidentally drawn with a third arm.
When Bender steals the sarcophagus from ancient Egypt, he points a gun at them and they get scared and drop the sarcophagus, even though he never fired the gun. The ancient Egyptians would have absolutely no concept of what a gun is or does, much less an innate fear of them.