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.
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.
Factual error: When Rain shoots the Xenomorphs in zero gravity, their blood forms long ribbons and other splatter-type patterns. In reality, due to surface tension, liquid in zero gravity forms into spheres. The blood would not have remained 'stretched out' like it does.
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.
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.