Continuity mistake: During "the 24 hour race". Hammond and Clarkson are helping to put extra 'racing car bits' to their car. In the one of the shots of Jeremy and the fuel tank, you can see the sponsor stickers they stuck on. But the audience hasn't seen them being stuck on yet. In shots after, there are no stickers; until we see them being added.
Continuity mistake: During the motorhome race, the little red Toyota has a fold out space sticking out of the roof. But it disappears and reappears in almost every shot right up to the moment it splits off.
Suggested correction: This isn't something they hide. Behind the scenes interviews make it quite clear that they have a B unit that films additional footage of the areas they travel in. They even take the cars back to get more shots of them on the road, since they can't predict the exact routes that will be taken in order to have camera crews ahead of them in time.
The mistake is perfectly valid. The correction is only providing an excuse as to why the mistake occurs. Most shows/films have a second unit director and crew (the "B unit") solely to film supplemental footage. This does not invalidate the point of the mistake, that "their very distinctive cars are not on deck" where they should be.
Super Grover ★
Since they cut to and from shots of Hammond, May and Clarkson standing on the deck of the boat the implication is clear - the shots are continuous. It is a glaring error.