I read this article the other day on how to mod your ps2 so you can play backup burnt games. I will be doing this in the near future because Blockbuster has a handful of games that I would like to backup for them. Click here for the instructions.
After you do the softmod you will need Swap Magic discs to play DVD and CD PS2 games. You can buy the Swap Magic discs from this site for 20 bucks. They have the Swap Magic 2.0 dvd and Swap Magic 3.0 CD. Don't even think about downloading the disc images and burning them. They are pressed discs and are designed to load backup games.