When I first think of jazz songs in anime, Cowboy Bebop immediately comes to mind. However there are many catchy jazzy anime opening/endings out there. Here is a quick list of a few of my favorites, and of course I'll start us out with a little Cowboy Bebop to get us going.
Cowboy Bebop - Opening "Tank"
Samurai Champloo - Ending "Shiki No Uta"
JUJUTSU KAISEN - Ending "Lost in Paradise feat. AKLO"
Kakegurui - Opening - "Deal with the devil"
Baccano - Opening "Guns & Roses"
JoJo's Bizarre Adventure - Opening 2 - "Bloody Stream"
Space Dandy - Opening - US / Toonami Version
Lupin the Third - Live Action - Anime Opening