Mine were mainly racing games
Loved all of the NFS games for the PS2
Loved Burnout 2+3
Loved the Midnight Club games and loved GT3+4
I still get goosebumps when I listen to the Midnight Club 2 menu music
Tourist Trophy, Ridge Racer V, Rumble Racing, the FlatOut games and Test Drive: Eve of Destruction were also decent
Aside from racing games, I loved all of the GTA games for the PS2, some say it's sacrilegious, but GTA III is still my favourite GTA game to this day
Silent Hill 2 and 3 were great. Silent Hill 4 was alright, but I didn't play much of it
Also loved Mafia: The City of Lost Heaven and Driver: Parallel Lines
Driv3r was alright too, but Parallel Lines was better imo
I liked Oni because I was a bit of a weeb at the time
A little embarrassed about it now, but I also loved The Sims games when I was a kid. The Urbz would have to by my favourite one on the PS2.