Okay. Then you might also like :

Art Blakey and the Messengers.

Dat Dere

Moanin'

Thelonious Monk

Blue Monk

or Bud Powell

Anthropology

You might also want to look in the direction of movie soundtracks. There's a lot of jazzy ones, like, of course Miles Davis' pieces for Louis Malle's "Ascenseur pour l'échafaud". Or, in a very different genre, the famous musics produced by Burt Bacharach for "Butch Cassidy and the Sundance Kid", like

The south american gateaway
and
Raindrops keep falling on my head

or Marvin 'spy who loved me' Hamlisch's adaptation of Scott Joplin for "The Sting"

The entertainer

or Claude Bolling's almost as famous "Borsalino" theme.

A lot of cop/spies movies and series from the 70s had a weird modern jazzy tone that I like a lot, by composers like Lalo Schifrin, John Barry, Lennie Niehaus, Quincy Jones, etc...

Three days of the condor
Dirty Harry
The ipcress file
The hot rock

If you can find Niehaus's "Amanda's Theme" for Tightrope (watch the movie or skip to the scene where Alison Eastwood looks after her drunk father on a couch), or Fielding's "Closer look at a closer walk" for The Gauntlet (I think it's the first music you hear in the movie, so just rewatch the first minutes), you may have great exemples of that, unfortunately I can't find them online.

Also David Holmes composed a very fun hommage to this era's most experimental jazzy soundtracks, for Ocean's 12 :

Lifting the building

But we may be drifting away from what you're looking for.

Back to the basics. Go play Mafia. It's full of jazz classics, during the driving sequences...