You'll enjoy Mononoke, I think. It's like a surrealist take on the premise of Mushishi - but with more straightforward demons, I guess.
Dennou Coil has a similar feeling but it is modern. It's mushishixgoogle glasses. It's kind of a neat modern spin on the concepts.
Another series to consider is Natsume Yuujinchou. Seem melancholy feel - but with a bit more character exploration and relation to the supernatural. It's like those episodes where the show shines a bit of light on Ginko and his past and the people around him. Unfortunately, they don't really go much further with it ultimately (in season 2, anyway).
Also worth everyone's time, I think, is Kino no Tabi. It's based on a light novel - which is actually available in the West, if only partly.
But anyway. A girl and her talking motorcycle travel around and get into discussions with people. The stories kind of play out like fables, in my opinion.
Oh. And you might also enjoy Spice and Wolf.