There doesn't seem to be a very specific genre for "building" games. There are certainly Minecraft and clones of it, but there are others that stray from it that could still be described as a building game. As mentioned, the Sims is one of them. Although it is not a great Banjo-Kazooie game in that it is not a platformer like its predecessors, I do like Nuts & Bolts let you build near any kind of vehicle you wanted and wish more games would expand on this idea.
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About suffering they were never wrong,
The Old Masters: how well they understood
Its human position; how it takes place
While someone else is eating or opening a window or
just walking dully along...