Suikoden 2 Castlevania: Symphony of the Night Breath of Fire 3 Azure Dreams Tactics Ogre Tomba!
I've played all of those games in the past few years. I replay them periodically (Tomba! not as much as the others) and I love that if you play them on a PC now you can beef up the resolution and add filters and shaders to really pretty up the picture.
Final Fantasy 7 and 9 are still worth playing today as well.