Absolutely without question, Def Jam Fight for New York. Me and my friends spent absolute hours playing that game.
I liked the Katamari Damacy and Legacy of Kain games, also Ico was pretty cool
Def Jam fight for NY and Shadow of the Colossus
It’s amazing how utterly unique SotC remains to this day. I remember thinking that nothing could be cooler than grabbing onto that bird’s wing and fighting it high in the air. Still is really cool, actually.
Also the remake is beautiful.
Jak and Daxter was my first ever console game and I loved it to death. If I were ever to speedrun a game, it would be that one.
RE4 and Okami are also high on the list.
SSX Tricky
Honorable mentions:
SSX 3
Trapt (Kagero II: Dark Illusion)Katamari
I remember first going through MGS2. Up until Raiden I thought this was going to be the best gaming experience ever. Still liked it, but the story was just weird looking back on it.
I’m going to give a weird answer, but one of my favourite gaming experiences on the PS2 was Katamari Damacy. I was in Uni and we had some friends that didn’t play games but LOVED Katamari and we would take turns on that.
THPS
Timesplitters 2