Do you know any anime with a jazzy main theme?I watched Baccano! , Durarara!!, Cowboy Bebop and Gundam Thunderbolt and love all of them
Megalobox
This anime has jazzy-like ed and osts and it's enjoyable.
The OP and some tracks from the OST are very jazzy
Great Pretender
Sakamichi no Apollon is 90% jazz and 10% queerbaiting. It's not has lively as the one you cited though, but there's good jazz standard covers
Sakamichi no Apollon
Kaguya-sama: Love is war openings are to die for. The whole OST is. It's also an excellent anime overall.
Kaguyasama wa Kokurasetai Tensaitachi no Renai Zunousen
Sakamoto desu ga's OST is pretty much jazz-coded, but I'm not sure it'll match what you're looking for.
Sakamoto desu ga
Samourai champloo, it's so famous for its OST taht I knpw it even though I didn't watched it yet
Samurai Champloo
Idem for Golden Boy. I think generally speaking you'll find good stuff in retro animes, with City pop vibes and all
Golden Boy
Finally, this masterpiece both visually and acoustically, Porco Rosso by Miyazaki & Joe Hisaishi. That's a movie but it rules.
Kurenai no Buta
Also maybe you could enjoy Appare Ranman ? The OST is not quite jazzy (some touches here and there, and the OP too) but in terms of rhythm I think it's closer to what you're looking for.
AppareRanman