Yes! PS1 has some excellent games, see below:
Final Fantasy Tactics - this is a great and relaxing strategy game imho
Castlevania: Symphony of The Night (seriously this game is awesome and has a killer soundtrack, even now it's really good)
Any of the Suikoden series (based on some myth of 108 stars or heroes I think. My apoligies but it's late and i'm about to go to bed otherwise I'd look it up).
Before I forget..
Front Mission 3 and 4 (love these games, turn based combat like tactics above, made also by squaresoft but with giant combat mechs. Great games) XD