acid jazz 
noun [mass noun]
A kind of popular dance music incorporating elements of jazz, funk, soul, and hip-hop: [as modifier]: the acid jazz scene in Chicago...
- It's an inventive, cinematic exploration of hip-hop, its party-girl cousin trip hop, acid jazz and retro funk grooves.
- The disc is full of salsa, trip-hop, acid jazz, calypso and reggae beats.
- It makes for a fusion of acid jazz, hip-hop and a touch of soul which induces the laid-back appeal of the West coast.
Origin
Apparently coined from acid house and popularized by the Acid Jazz record label founded in 1988.