Think I might be one of the few, but really I was rather disappointed with the PS2. Perhaps it came from having one of the original release PS2s and having to wait well over a year before there really being anything that interested me to play on it. As I recall the first 2 plus years of owning it It got used more as a DVD player than a game console. That was the front end of its cycle. After I started seeing games released, yeah Xenosaga, FFX, FFXII, SSX, Silent hill 2%3 (though I voted for 4 despite playing it on xbox) Gran turismo, Manhunt, few others here and there. Toward the end of its cycle, I ended up gravitating to xbox, then to 360 with much greater degree of enjoyment.
So personally the PS2 was nothing gaming wise compared to what the PS1 was. Honestly With a few exceptions I practically jumped from PS1 to Xbox (or perhaps was just distracted by MMOs during that period) So I never really got the undying adoration for the PS2. It was a solid system yes, but far from impressive.