John williams
Minako Hamano ? Super Metroid (with Kenji Yamamoto), Metroid Fusion, Metroid: Zero Mission
Koji Kondo ? Super Mario Bros. series, The Legend of Zelda series, Star Fox series
Yasunori Mitsuda ? Chrono Trigger, Front Mission: Gun Hazard (with Nobuo Uematsu, Junya Nakano, and Masashi Hamauzu), Radical Dreamers, Chrono Cross, Mario Party, Xenogears, Legaia 2: Duel Saga, Shadow Hearts, Xenosaga
Motoi Sakuraba ? Tales of Phantasia (with Shinji Tamura), Tenshi no Uta: Shiroki Tsubasa no Inori, Zan Series, Star Ocean series, Golden Sun series, Arcus Series, Hiouden Series, Valkyrie Profile, Mario Tennis and Mario Golf series, Baten Kaitos series.
Nobuo Uematsu ? Final Fantasy series.
Michiru Yamane ? Twinbee (NES), Castlevania: Bloodlines, Castlevania: Symphony of the Night, Castlevania: Harmony of Dissonance (with Soshiro Hokkai), Castlevania: Aria of Sorrow (with Soshiro Hokkai and Takashi Yoshida), Castlevania: Lament of Innocence, Castlevania: Curse of Darkness, Castlevania: Portrait of Ruin (with Yuzo Koshiro), Castlevania: The Dracula X Chronicles, Gungage (with Sota Fujimori), Genso suikoden III (with Tadashi Yoshida and Masahiko Kimura)
Akira Yamaoka ? Silent Hill series, Contra: Shattered Soldier.
I know these are not world famous classical composers but they are noteworthy and I listen to their work a lot.