Factual error: While in the giant geode, the inflowing magma is referred to as lava. It is only lava when it is erupted onto the surface of the earth. In any case the mantle is nowhere near as liquid as is shown, it is almost completely solid. (01:05:30)
Suggested correction: They were melting everything in front of them, and it would have stayed liquid for at least a bit after they passed. If they were near any magma flows near the geode, then it is possible that it would have flowed into the void.
Factual error: Rat and Josh are extremely smart. Both of them should know that 1 is not a prime number. (01:32:20)
Factual error: In the manic pigeon scene in Trafalgar Square, pigeons possess neither the mass or velocity to shatter most of the glass panes they are hitting and smashing.
Factual error: When they land the space shuttle in the river canal, they are approaching too low, so the commander commands to retract the gear. That would be impossible, as the landing gear of a space shuttle is controlled only by gravity. The gear can't be raised again after being deployed.
Suggested correction: The landing gears can be hydraulically retracted, per NASA.
Citation needed. NASA's website says "The nose and main landing gear can be retracted only during ground operations".
They're literally on the ground, hence ground operations.
Factual error: The shuttle crashing into Los Angeles is shown flying toward the northeast, from over the ocean toward downtown. Coming down fast, it turns slightly and lands in the L.A. river. As it's coming down, it passes over Dodger Stadium, which is north of downtown, not between the ocean and the river, and faces away. For the shuttle to fly from the outfield toward home plate, it would have had to fly past the city and turned around, which according to the dialogue it didn't have the altitude to do.
Factual error: The Army officer is American, by the US pips on collar and American airborne on shoulders...yet he has Canadian Airborne Cherry Jumper jump wings on the right front breast. (00:05:57)
Factual error: At the end, the aircraft carrier is at flight quarters for SAR (Search And Rescue) operations. They would not let Rat, or anybody, walk around on the flight deck 1) without any protective equipment and 2) a civilian without some kind of escort.
Factual error: In the space shuttle reentry, the space shuttle should enter at about a 45 degree angle, not the extremely low angle they were using. The vertical speed was also wrong, as in both of those mistakes the space shuttle would have burned.
Factual error: When "Beck" and Commander Iverson are getting ready to re-enter the Earth's atmosphere, a brief shot of his space suit flight badge indicates that he is an Air Force senior airman pilot. However Commander Iverson is a Navy pilot in the astronaut program, and Navy pilots have two totally different styles of flight insignia. Notice how his flight badges differ to the correct ones later in the movie.