DVD-RW's will work on your PS2 if you have a V5 or higher.... The older PS2's (ie.. V1-V4) had not-so-great lasers and have a harder time reading the -RW discs....
Also, not to put down Nero, BUT you will find that Nero will work for MOST PS2 games, but not all.....
RecordNow Max or Primo DVD are the programs of choice for PS2 games...(dvd based)
Clone CD is the one to use for PS2 games (CD based)
Have fun and ENJOY!