Factual error: When James Bond programs the two submarines to destroy each other we see the paths of the missiles displayed on a globe. They swing across in two arcs, narrowly missing each other. However, we are looking down on the surface of the globe, with no height perception, so the missiles should in fact travel in straight lines directly between the submarines.
Factual error: At the end of the film Stromberg shoots at Bond under the table with a pneumatic spear gun-type weapon that shoots most likely a spear with an explosive tip through a long tube. This type of spear gun, unlike elastic-operated spear guns, has an actual sort-of gun barrel that's closed at the back. As such, when Bond shoots Stromberg through the tube with his hand gun, he somehow hits him, despite the fact that the bullets would ricochet off the closed barrel.
Factual error: When the two missiles blast out of the water, the first thing you see is the glare of the rocket motors under water. SLBMs rise out of the water solely on the air or steam pressure impulse that propels them out of the launcher. The rocket motors ignite only after the missile has left the water completely. (01:43:20)
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)