for those without softmods:
If your not using a backup from another region, just turn off drivekey's update blocking feature. Set it to allow all updates and you will not receive the blackscreen of death. Exit the game and then turn the update blocking feature back on and it will run just fine.
I haven't been brave enough to try this fix on a disc from another region yet, even though I'm on 4.0u.
For some reason the game disc needs to do an update in order to even run. It's almost like it's a game specific update located only on the disc and not within the latest system update (4.0u). Most games work fine, for those that have the blackscreen of death, just update them and then turn the update blocker back on.
Be careful of using disc from different regions though, like I said, I haven't tested this fix for backups from different regions.