Don’t burn @ max speed and the PS2 should be ok reading the discs.
PS2 consoles aren’t the strongest readers so it’s best to stick with quality media like Verbatim. My personal favorite for PS2 game backups is Verbatim DVD-R 8x (MCC02RG20). MCC004 is also very good though. But as I said,[B] don’t[/B] burn @ 16x or higher.