Don't update the game, try the select+X option when booting for black screen games, update to the latest multi man if you haven't already done so, try from external drive, and also make sure you have a blu ray game disc inserted for better results unless your blu ray drive is dead.
I do have a FF13 in the blu-ray drive and I do have the updated installed. It would black screen before the updates so I applied them to see if it would help and it didn't. I shall try the select+X when I get home after college today.
Will have to try this when I get home from college.