Please don't laugh at me too much
Dave Brubeck - Time Out reminds me of SimCity, I don't know if it is actually the same style. It's been a while. (didn't play Simcity 4 that much)
I always put Jazz music while playing games like Civilization or Crusade Kings, just to remember the "feel" of the old SimCity games
I put together a list of the 10 albums I recommend when someone wants to explore jazz.
Some things to remember
1. there are many styles of jazz
2. jazz is an aquired taste
3. for me at least, sometimes things I don't really care for the first time I listen to them, turn out later to be favorite albums.
Nina Simone's first record "Little Girl Blue" is a wonderful record. She's classically trained pianist, and her first recording already shows an amazing talent and her emotion are right upfront. Another singer/pianist that sometimes get's taken too lightly is Blossom Dearie. Her voice is pretty unique and could be seen as too cute by some. She's a coy and stealth performer, quiet and moody (so is life sometimes) but as soft as she may seem there is a solid base underneath.
Check out some early Ramsey Lewis, sometimes Jazz just needs to be for a swinging good time. Ahmad Jamal is another artist who I think is approachable yet amazing. His recording of "Poinciana" I've linked to is one of my favourite Jazz tracks. It's flat out pretty in places but it moves along.
There's also more emotional of Jazz that may move you. Yousef Lateef and Bill Evans seem to be on another plane. Here are two versions of "Love theme from Spartacus"
*And a bonus version of the track from Ahmad Jamal
Speaking of being on another plane. Pharoah Sanders (who probably wouldn't make it on a video game sound track) always seems to dig deep. It's hard not
to think of John Coltrane listening to Pharoah Sanders.