Not sure they will be your style, but I still have my PS1, for three reasons:
Rollcage Stage 2, Armored Core 1, and Tiny Tank.
Tiny Tank is not really that good, mind you, just the final level is so unbelievably fucking hard I have not beat it yet.
Armored Core is the game that made me decide to get a Playstation, when it was between that and N64.
And Rollcage is still my favourite racing series; it upsets me that no one has made any new ones since the PS1 days.