Factual error: During the 4x4 chase across the island, the Land Rover used is a modern variant, not in production in 1963.
Factual error: During the first car chase, when Solo asks Gabby if he can "borrow her car" that she was working on, it's a 1966 Wartburg 100. The film takes place in 1963.
Factual error: At the motor racing scene when the heroes first meet the villains there is an Aston Martin DB6, which is at least 3 years ahead of the film's setting.
Factual error: There are Hawker Sea Hawks on the deck of the carrier. They were withdrawn from service in 1960.
Factual error: The whole computer disc thing is extremely unrealistic. If Russia and the US only suspected Vinciguerra was behind Teller's abduction and had not infiltrated yet, how would they have any idea how the research data was stored, and how would they have an example of the media used? As for the size of the media, let's remember this was 1963. Even two years later, magnetic disc storage was still in its infancy. The most advanced computer storage drives with a capacity of 5mb were the size of a small refrigerator and weighed almost half a ton (e.g., the IBM 2311). Not exactly something you could carry around in your pocket.
Factual error: There were Willys jeeps by the West/East Berlin checkpoint in the early German scenes. Most of the action is set in Italy and the jeeps there are still Willys, not a FIAT or Alfa one to be seen.
