Wow am I really the only person who listens to primarily Japanese composers? Joe Hisaishi, Nobuo Uematsu, Taku Iwasaki, Taro Iwashrio, Yoko Kanno, Shiro Sagisu... These are the big influences on my music.I grew up listening to my parents' Chinese folk songs and have been in love with the oriental ever since. I just really like the chords and chord progressions that a lot of these Japanese composers use. It's a very different sound from what's in Western music (not saying either is better -- just that they're different).
I do like Western composers as well such as the usual: Hans Zimmer, Danny Elfman, James Horner, John Williams. I do like classical music but I usually gravitate towards modern film/video game music more. I really enjoy Ravel, Chopin, Vivaldi, Liszt, and Rachmaninoff.
Overall I think it's nice to have exposure to both Eastern and Western music because you discover new ways to improve your composition that you haven't thought of before -- but that's just me.