Other mistake: At the end of the film when they arrive in NYC looking for the library, we know that they survived because they are inside with a roaring fire burning. But where is the smoke up above, as Jack Hall approaches? There must be a chimney, or else they would have all died of asphyxiation.kiazersoza
Factual error: Given that the entire premise of the movie revolves around the melting of the ice caps and the disruption this causes, including a rise in sea-levels, and that at then end of the movie most of the Northern Hemisphere outside the tropics is covered by an enormously enlarged ice cap the sea-level should have lowered significantly enough for the shape of the land masses to appear different from space.
Other mistake: At the beginning of the film, where Jack falls into the crevice, he's got nothing in his hands. In the next shot, you see he's clinging to the side of the crevice with an ice pick that has mysteriously appeared in his right hand.