Yeah I would agree with the person below..but if you can't afford it or like older consoles I would say the Grand Theft Auto Series..Kingdom Hearts 1 & 2...and Final Fantasy Series...or if you like sports games I would say Madden or NCAA..
over the years they kinda stoped makeing games for ps2 but there still some good ones out there the only problem is which do u like? update ur question and put what kind ill be back soon to tell u.. and if u still dont know go to gamesradar.com and click the ps2 tab and look at some games they have for it still. also i belive u can buy some off of there... plus there are cheats =)
Kingdom Hearts
Kingdom Hearts 2
Mark Ecko's Getting Up
Grand Theft Auto: San Andreas
Grand Theft Auto: Liberty City Stories
Tony Hawks Underground (all the tony hawk games before and after underground suck)
Call Of Duty 2
Sims 2
Sims 2 Castaway
Thats All i Can think of right now because its been long since ive played PS2 all i play now is Xbox 360 - you should really consider getting a 360 or a PS3.
Kingdom Hearts
Kingdom Hearts 2
Mark Ecko's Getting Up
Grand Theft Auto: San Andreas
Grand Theft Auto: Liberty City Stories
Tony Hawks Underground (all the tony hawk games before and after underground suck)
Call Of Duty 2
Sims 2
Sims 2 Castaway
Thats All i Can think of right now because its been long since ive played PS2 all i play now is Xbox 360 - you should really consider getting a 360 or a PS3.