菅野 よう子
Yoko Kanno is a Japanese composer, best known outside of Japan for her work on anime soundtracks. Titles with music by her include Macross Plus, Escaflowne, and Cowboy Bebop, and Please Save My Earth, all of which have music that's nothing short of amazing.
Aside from writing excellent orchestra music when it's appropriate, she has a huge musical vocabulary that ranges from trip-hop to tribal, and everything in between. Truly a talent up there with John Williams in terms of scope of musical vision and appropriateness to the subject matter.
Don't believe me? Buy the Macross Plus soundtracks, both volumes - they had a domestic release in the US, and should be cheap and easy to find. Then give Cowboy Bebop a listen. From neo-classical to ethnic to big band, apparently Yoko Kanno can do it all.