This article is from the Anime Music FAQ, by Ru Igarashi with numerous contributions by others.
Here is a short and far from complete list of soundtrack writers, and, in some cases, their web site. Names are listed surname first.
Amano Masamichi - Super Atragon, Princess Nine
Arisawa Takinori - Sailor Moon
Hisaishi Joe - Nausicaa of the Valley of Wind, Laputa: Castle in the Sky, Kiki's Delivery Service, Porco Rosso, Princess Mononoke, My Neighbor Totoro, Spirited Away http://www.joehisaishi.com
Hogari Hisaaki - My Dear Marie, Gasaraki
Kanno Yoko - Macross Plus, Vision of Escaflowne (not the North American TV version, though a little was left in), Cowboy Bebop, Brain Powerd, Magnetic Rose segment of Memories, Turn A Gundam, Chikyuu Shoujo Arjuna (Earth Girl Arjuna), Ghost in the Shell: Standalone Complex
Kawai Kenji - Patlabor (TV, OAVs, movies), Mermaid's Forest, Blue Seed, Irresponsible Captain Tylor, Vampire Princess Miyu (OAV and TV), Ghost in the Shell, Devilman, Maison Ikkoku TV, Ranma 1/2: Big Trouble in Nekonron http://www.kenjikawai.com/
Mitsumune Shinkichi - Revolutionary Girl Utena, Nurse Angel Rarika SOS
Nagaoka Seiko - Tenchi Muyo, El Hazard, Sol Bianca: The Legacy
Wood, Nick - RG Veda
Reichi Nakaido ("Chabo") - Serial Experiments Lain
Sakamoto Ryuichi - Wings of Honneamise http://www.sitesakamoto.com/
Tanaka Kohei - Sakura Taisen
Terashima Tamiya - Key the Metal Idol, Plastic Little http://www.dd.iij4u.or.jp/~tamiya/index.shtml
Tsuru Nohihiro - Mermaid's Scar
Vink - All Purpose Cultural Cat Girl, Slayers
Yasuda Takeshi - Oh My Goddess
Mizoguchi Hajime - Please Save My Earth, Jin-Roh, ~1/3 Escaflowne http://www.archcello.com/
Iwasaki Taku - Rurouni Kenshin OVAs, Witch Hunter Robin, Read or Die
 
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