Down-beat/Down Tempo and Deep house are what you're looking for. It's almost like an ethereal ambient texture with a downplayed 4/4 beat. Luomo is the canonical Deep House band, Royksopp, Global Communication, Future Sound of London, Matthew herbert and Yagya's house stuff are all what you're looking for. Most of this type of sound was produced (almost ad nauseaum, but very well done) in the mid-late 90's and tapered off from the mainstream electronic scene sometime in the early 00's.
Good taste, though. I'm a huge fan.
Here's some good samples:
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