360. There a ton of decent NEXT GEN single player games on the 360 the PS2 simply can't compete with simply cause it won't be able to handle it. PS2 is so last gen playing it now just won't fell as special as it did then. Even though you don't have an HD tv the technical difference is still very obvious. Also you can play original xbox games on the 360 which are dirt cheap now. In fact a lot of 360 games are very cheap now. Plus it's got the full support of MS while the PS2 is a dying machine with hardly any new games coming out.
Trust me as a single player on the 360, you are well and truly sorted. From racing games, fighting games, wrpgs, jrpgs, fps, 3rd person, rts... your spoiled for choice!
Sure the PS2 has many good games but they are dated now and you will definately be able to tell the difference between the consoles in quality.
