I had Need For Speed Hot Pursuit on the old PSX. Loads of fun, I probably still have it (and the PSX

). I either used the M5 Roadster (I think that's its name) while being chased, or a Beamer
to chase. The soundtrack was pretty good to listen to, too.
I also never liked racing games, but it was fun and kept me occupied for hours. I never did finish it, though. Almost.