The most popular "SUVs" in Britain are small crossovers that are compact or subcompact cars by American standards. The Ford Puma is currently the best-selling car in the UK and while it's marketed as an SUV, it's based on the same platform as the Ford Fiesta. It has big wheels and an SUV silhouette, but the base model has a 1 litre engine with a mild hybrid system and 4 wheel drive isn't even an option.
There's a strong marketing trend towards taller cars with a more imposing road presence, but most of these cars aren't actually very big. The psychology is quite interesting - auto makers are trying to make small cars look tough and rugged without actually making them wider, heavier, less efficient or more expensive; this has in turn led to a lot of people feeling intimidated by cars that are basically just compacts in cosplay.