I was checking on wikipedia about FFXIII and came across this.
"Freezing and disc read issues have begun surfacing. After initially experiencing the aforementioned in-game "freezing" the game will be rendered unplayable from any save file or even starting a new game. Reports have documented this issue is also potentially damaging video game consoles causing a number of different disc read problems. These vary from only Blu-ray discs to all disc technologies becoming unplayable."
I have it on the PS3 but I haven't played it yet, as I'm currently waiting on getting a PS3 but that's another story.
If anyone has experienced this issue please let everyone else know here.
http://en.wikipedia.org/wiki/Final_fantasy_13
Check the bottom of the page on this link to see it for yourselves.