Most of the best examples of garage-y jazz would probably come from B-flicks, mostly 60s spy movies like Fantastic Argoman, Mission Stardust, Diabolik, and the like. Another good example would be in Teenage Tupelo, the song "One More Hit" during D'lana's dream sequence. Aside from stuff like that, I can't really think of any actual bands that try to make that kind of music. Methinks there's a void to fill.