This happens to me as well but after troubleshooting for a while I got the game working. You need to make sure the disk is clean and not scratched, but also make sure you have Xbox LIVE, you get access to Xbox LIVE when you put your email on your offline account and have an internet connection
No, there is no way to update Minecraft beyond the version that Mojang last released on the affected console. Without Mojang creating new updates for those consoles there is no new update to begin with that you could apply to the game.
Mojang decided to drop supporting those consoles as they were only a small percentage among active players.
First, try to power cycle your console. The instructions are here. But you can follow these steps:
1. Hold down the console power button for 10 seconds
2. Press console power button (to turn it back on, your cache and some settings will now be cleared)
1. Settings -> System Settings -> Storage -> Clear System Cache
I would also try to unplug/...