Chrono Trigger is an amazing game with a great soundtrack. I don't believe it looks outdated at all myself personally.
Some of my other favorite games on SNES with great soundtracks are as followed>Super Mario RPG>Donkey Kong Country 1 - 3
Especially DKC2 which has one of my favorite video game soundtracks of all time.>TMNT:IV>Super Castlevania IV>SMW2 Yoshi's Island
I could go on about SNES games all day so I'll limit myself there. There's also a ton of great JRPGs that were on the console along with this anon mentioning Final Fantasy VI/III >>276
I may come back and post more as the thread progresses. But I also really like some of the "Run and Gun" games such as Sunset Riders and Contra III.