You must have never lived outside of a city if that is your perception of buildings. Most of the buildings I have seen in the European countryside are made with a significant amount of wood. Even brick and stone buildings will often have a timber structure. Most buildings are not in cities, in general.
Scandanaivans use a particularly large amount of wood, even in their city centers and even for skyscrapers.
I guess it depends on the region. In Italy, the vast majority of buildings, both in the city and in the countryside, are in stone, bricks and concrete. In some mountainous region in the second half of the 19th century there was a mandated reconstruction of old buildings in bricks and stone to prevent fires.
In northern Europe the building style is entirely different and most houses still have a wooden frame.
I believe AAC is really popular in Europe too (which I suppose could just be considered another form of concrete, but it provides decent insulation, making it more suitable to colder climates).
I'd wager that even under that definition most city houses in Europe house more than one family. At least in continental Europe, I am not so sure about Britain. But most of Europe doesn't have extensive single family home suburbs in the way the US has.
Scandanaivans use a particularly large amount of wood, even in their city centers and even for skyscrapers.