Soul Calibur II for a great fighting game of course.
Devil May Cry is one of the best action games ever, however do not get the second one, it's horrible.
Then of course the biggest time consuming game, Vice City.
Suikoden III is a good RPG game.
MDK2 Armageddeon, another great action game.
Disgaea: Hour Of Darkness, RPG game that I haven't played yet but I've been wanting to, it got great reviews.