Cinematographic music in a very traditional Japanese setting in Okuribito. Universal human emotions rather than ethnical characteristics.

Leitmotivs in Gohatto (Ôshima 1999) with cinematographic music.

Kurosawa, Seven samurais (1954):

The theme of Ahitaka’s epic quest in Princess Mononoke. Cinematographic music in a very traditional antique japanese setting.

Shigurui (2007) with strong historical references
https://www.youtube.com/watch?v=XssqQsSybPY

Ayakashi, a historical-based japanese animation:

Traditional japanese instruments (shakuhachi) in Ayakashi 1×05

Cinematographic music (violins) in Ayakashi 1×05

https://www.youtube.com/watch?v=EX-rbmumgGs
Traditional japanese music with modern rhythms in the opening of Ayakashi