Other mistake: In the scene when Robert gets caught up in the trap by Grand Central Terminal, there are no traffic lights on the upper street that they show him being suspended from.
Character mistake: When LT. Col. Robert Neville's wife fails the eye scan and he's ordering the soldiers to scan her again, the soldier that escorts them to the scan point, and later to the helicopter mistakenly uses Will Smith's real last name. You can faintly here him identifying LT. Col. Robert Neville to another soldier as LT. Col. Robert Smith.
Audio problem: Aside from the beginning of the movie, the generators Robert has going put out a lot of noise that we do not hear during any of the other home scenes. This would make sense for the night shots as they would be off as to not attract anyone, but nothing is heard during any other daytime scene.
Factual error: When Robert Neville is driving golf balls off the deck of the ship, he sees a deer on the mainland. He and his dog go in pursuit. In a wide, distant shot, we see the deer fleeing full-tilt down a city street, with Robert Neville pursuing at the same speed as the deer, only about 10 yards behind the animal. Impossible. A panicked deer can run over twice as fast as the fastest human being.
Other mistake: How did Anna drive from Maryland to New York, where Dr. Neville was, if all the bridges were blown out?
Answer: I thought people jumped on another helicopter causing it to spin out of control, and that one crashed into their helicopter.