xXx holic has a lot of japanese myth

Inuyasha is heavily influenced by it

The Monogatari series is...adapted?

Doro he doro a bit

Natsume's book of friends has a lot about yokai and stuff, not as much mythology

The tale of princess Kaguya (one of my favorites) is a version of the old Chinese tale of the bamboo cutter

Ghost stories (English dub only - I promise) but it's any ghost stories

Heike story - I think, follows a girl who plays the biwa and can see the future, more historical

Theater of darkness - a collection of scary stories that would have their origins in myth

Kyousougiga - a story about love, reincarnation, very Japanese myth. Hard to explain but one that I loved

Thunderbolt fantasy - actually puppets, physical puppets. But more Chinese myth than japanese. It was actually a good story too

Maybe kamisama hajimemashita - a girl becomes a shrine god, a rom-com

Mushi-shi - one of my favorites, there are these spirits called musho that are more like energy and the foundation of life. They can cause issues in the world and the MC is like a physician or detective

Yuyu Hakusho was inspired by it

A lot of ghibli movies