Factual error: In the diner, the kids listen to/dance to Britney Spears' "Toxic," which didn't release as a single until January 2004. This takes place in 2003.
Continuity mistake: After Rain shoots all the xenomorphs in zero gravity, and she and Andy have to traverse through the floating blood splatter, the bodies of the dead xenomorphs have suddenly disappeared.
Factual error: The movie, by various accounts, takes place 300 years after the apes took over and humans were rendered "dumb" (both literally and in the (non-PC), mute meaning of the word) or went underground. But yet they're making contact with a communication satellite. Satellites don't function for 300 years; they require occasional course corrections to keep from entering the atmosphere and burning up. Course corrections require propellant. The propellant wouldn't last 300 years. And the electronics.
Continuity mistake: When Deadpool is talking to Wolverine's skeleton, in one shot the skeleton's mouth is closed, but in the next shot it is open.
Factual error: Andy crashes on an uncharted planet, and his personal assistant says the atmosphere is 2% oxygen. This is over 90% less than the oxygen concentration on Earth. When Andy comes across his crashed and burning ship (the "Borealis"), the fire is burning just as brightly as it does on Earth. The fire should be shown as burning much lower due to the small amount of oxygen.
Continuity mistake: When Samira and Eric arrive at the jazz club, Eric sits Samira down and then goes outside. A drum kit can be seen with "East Harlem Best" written on the front. Right after he leaves and right before Samira stands up to plug her iPod in, a bar stool has suddenly appeared in front of the drum kit. Eric will move this same bar stool in front of the drum kit himself again later on in the scene.
Continuity mistake: When Eddie and Martin meet for the first time in the woods and they are having a conversation, Rhys Ifans wears his necklace with the pendant above his clothes in the majority of the shots, except the ones when the camera is focused on Tom Hardy and he is facing left. In those shots, the pendant is under the T-shirt.
Factual error: During the scene inside the submarine, you see a Commander (O5) giving orders to a captain (O6). This would never be a thing on any vessel. You would have a Commander as a Commanding Officer on a submarine, but not having a Captain working for the Commander.