Two things, you can play those games on a none backward compatibile PS3 as well, but WO3 standard version doesn't...only the SE version.

As for the PS2, get a component cable, not a composite, the difference in video quality is worth it.
Besides, most modern digital TV's now days only accept HDMI, mainly to save costs in fitting different plugs that most won't use.....if you find yourself with a TV with only HDMI inputs you need to get a component to HDMI adaptor [they are cheap]....also your sound will need to run separately from the PS2 via either a L & R RCA phono plugs, or a optical cable.