Factual error: While Bond and Franks are fighting in the lift, you can hear glass breaking. However, when Franks picks up a shard of it to stab Bond, you can see it's really a piece of Plexiglass. When Franks is forced to let go of the shard, his hand shows no cuts or blood, which would have been unavoidable the way he had been holding it.
Factual error: There are numerous references in the film about the type of jet, a Phantom, that crashes 60 miles outside of Piedmont, with a consultant at the crash site even saying "There's no rubber at all used in a Phantom F-4, General." The crashed tail-section of the plane at the crash site is and obviously not from a Phantom jet, but from a F-84 Thunderjet, a much smaller and older jet than a Phantom.
Factual error: In the opening scenes of a city deserted for several years, lots of smog can be seen at the base of the mountains in the distance. Smog is entirely man made and would disappear completely in a matter of days once all human activity stopped.
Factual error: When Mission Control tracks the orbiting Apollo spacecraft, the ship's ground track up on the big map has it moving across North America parallel to a line of latitude. With the exception of orbiting directly over the Equator, this is impossible.