Oh man, it's gonna take for ever to check out all these composers, but I'll do it!
Anyways, I was shocked but very happy to see someone else say Nobuo Uematsu! I'm in the same boat as you dude!
One game with incredible music (and also my favorite game of all time because otherwise it's an excellent game) that very few people know about is Brigandine (Playstation 1) (ebay's your only chance, it'll cost about $30-$40 + shipping) (if you want to learn more come to the Brigandine
www.gamefaqs.com forum, I'm over there too). As of now at least, Nobuo's also my favorite composer!
I'm afraid to list any others of mine because the only ones I've known so far were Mozart, Beethoven, Bach, and Nobuo.