Ok, this may be one of the stupider ideas I had lately, but still:
As some may know, there are still people out there, playing pen-and-paper roleplaying games and some even do it in forums. The concept is not much different from trditional p&p rpgs, only that you write instead of sitting around a table.
Now, my thoughts are not much different from this: you still chat or use forums to go on adventures, but your stats are saved in a blockchain. I would solve this, by having different kinds of tokens that represent different stats. There would be fixed stats, such as strength, intelligence and so on and then, there would be changing stats, such as money, items, health, etc. There would also be some "allround" tokens that you get as awards and that you can exchange for stuff you want.
So basically, the stats of your character, his name, maybe a little backstory and ideally, short synopsisses(?) of past adventures are saved on the blockchain.
How exactly points are rewarded or substracted needs to be figured out. You may have a traditional player-master-system, in which the master can choose (within certain numerical limitations) to distribute points (or the opposite), plus, you could build in a "roll the die" functionality, in which a smart contract (or whatever) determines the amount of points a player gets based on certain inputs (the players stats plus difficulty).
Now, why would you do that?
Well, firstly, because it's fun. This would be a game, so, why the hell not? Yeah, you could play it the "traditional" way, but you could show off faaaar better. You could be like "Go to rpg-explorer.io and look at my chars address. Yeah dude, that's me. Impressive, huh?"
Seriosly, though, here are some reasons I can think of:
Your character would have a story that has to be created. You'd be heavily invested in playing
your character. You'd want to improve this single character, you've been working on for a long time, instead of creating a new throw-away character. You wouldn't want it to get hurt, because you worked hard to get it to the point where it is now.
It would make group changes easier. You could change the player group and game leader/master/whatever you call it very easily. Lying to make you look better? Not an option.
You can fuse traditional p&p rpg with text based computer rpgs. It would be possible to create text rpg adventures, that are automated and that you can play alone with your character, or with a group of characters.
It would make you character a historical figure in a coherent world. In traditional roleplaying games, every playing group basically plays in a parallel universe, in which the other player don't exist. While this is nice sometimes, because your team can be the one defeating the single biggest evil in the world, I believe it would be intriguing to have a world in which history is made and in which players may even become heroes or even kings.
Well, just some thoughts