I would say my least favourite biome to build a house in would be a Jungle. Way too many trees, unless I was wanting to make a tree house of some sort. I also, for obvious reasons don't like building in Deserts. But I do like to have them close by for sand for glass.
For favourite Biomes to build in, its a 50/50 between Plains and Extreme Hills. But recently, I have been going for Extreme Hills a lot because I have been loving building houses into the side of a massive mountain.
I also really love finding Mushroom Islands (which hardly ever happens for me... I have such bad luck). No mobs spawn there so I find it a nice place to live and stress-free because of the no mob thing.