Red Superfly
You creepy little stalker
Revenge Of The Sith is utter shit. Rent it.
God Of War
Burnout (even if you don't like racing - check it out, so many anti-racing friends of mine love Burnout)
Metal Gear Solid 1, 2 & 3
Pro Evolution Soccer 4 (Also known as Winning Eleven. 5 is out soon by the way, and like Burnout, many non-sports fans love this game, it's probably my favourite multiplayer game of the current generation)
Kingdom Hearts - good choice
Final Fantasy X, good again. Don't bother with any others except 1-7.
Ratchet & Clank
Jak and Daxter
Resident Evil 1, 2, 3, Code Veronica & soon-to-be-released 4. (You'd likely get 1, 2, 3 & CV for about £20 or less in total)
Psychonauts (I bet you'd love this if you like Ratchet/Jak etc)
Freedom Fighters (best squaddie game I've seen yet on console)
Dark Chronicle (Good alternative to Kingdom Hearts - huge game)
Prince Of Persia (get the first one and forget the second)
Hulk: Ultimate Destruction (pure fun)
Spider-Man 2 (Forget Ultimate Spider-Man: this game creates the feeling of being Spider-Man so much better - also you may like the Spider-Man games on the PS1, good fun platforming)
And try and track down a game called Ico. It really is a PS2 essential(and I really mean that). The sort-of sequel is out soon, called Shadow Of The Colossus, which also looks stunning. Ico is easily in my top 5 PS2 games.
I wouldn't bother with wrestling on PS2 either, all the PS2 wrestling games are shit.