Don't think I've played enough 'new' games.
My list consists of GT3, Ace Combat 04, Federation vs. Zeon, Auto Modelista, SOCOM and Tokyo Extreme Racer Zero would probably be at the top of my list. Armored Core 3 is an honorable mention, though I had some gripes about it, it is a great game.
Not enough of the games I have are really worth mentioning. Defender is definitely the WORST of my collection... by all means, avoid that game.
Interestingly, if you're looking for a "DOA Xtreme Volleyball"-esq game for the PS2, pick up Summer Heat Beach Volleyball. Amazingly, it's more than just pretty girls... It's actually an amazingly good volleyball game! And it's got guys if you're in to that sort of thing, not that there's any wrong with that The "beach house" mode seems to be a little lacking, but really, it's a good game... Not like DOAX which is heavy fanservice followed by a tacked on, halfassed game.
Vostok 7