THE KADIMA MUSICIANS COLLECTIVE is in the vanguard of creative improvised music in Israel. Focusing on fringe artists and their work, KADIMA supports and develops the rich cultural mix of Israeli artistic life.
KADIMA includes a recording label and recording facilities in Jerusalem. It promotes and co-produces studio releases and concerts, and helps develop and connect musicians in the field of free improvisation and creative music.
KADIMA was founded and is led by Jean Claude Jones, bassist and educator, and one of the pioneers of Israeli jazz.

here's some artists/music I've found (so far) from checking out a
nearby music store Music House (mostly classical & jazz, but a smaller
section on other styles) in Jerusalem