Factual error: As the SLBMs eject from the submarines, they visibly jostle and shake the missile tube hatch, especially the second one - the hatch even scrapes the missile surface. Real missile hatches don't do that. In fact, if the missile actually did scrape the hatch, both the hatch and the missile would be irreparably damaged - consider the momentum of a 10m high, 13 ton missile... (01:43:20)
Continuity mistake: The position of Stromberg's "Atlantis" changes during the film. One moment its far enough out to see it takes a speedboat to get to it, then its so close to land Bond can get to it and back with his Lotus, finally its back out far enough at sea when the American submarine destroys it.
Other mistake: As Fekkesh leaves his seat abruptly and the camera pans over to Bond, there's a small skip in the video.
Other mistake: When the helicopter is chasing the Lotus Esprit, it is flying fast, doing sharp turns and firing bullets. Even for the most experienced pilots, this would take a lot of concentration and hard work and would result in some stress. But when Bond spots Naomi in the pilot's seat, she is totally relaxed, stress free and barely looks like she's doing anything.
Revealing mistake: The escape chamber is being lifted into a ship at the end of the movie, but look closely. The reflection we see in the the window glass of the chamber is that of a sunny beach and several palm trees quite nearby, and what looks to be either a palm tree or a camera man in the lower right section of the glass.