I'm most fascinated about an idea of being able to run games for my kid(s) some day. And not just for fun; rpg's work well for educational purposes too. You can use games to teach kids historical facts, lessons about behavior and moral and other useful things while having fun!
Many educational games (computer games) I've seen feel so transparent and forced that kids will easily get tired of it. Learning by games should be something that happens accidentally (from kids' point of view). If kids know their character will improve or gain other benefits by knowing details about another culture for example, it may make them study that culture with excitement; if kids realize themselves that they should study the topic to succeed better, it's even better.
Games may also prepare kids for different difficult situations - although such should be carefully planned and thought through in order not to make the child fear. I'm not sure if there are adventures or gaming guidelines made by a child psychologist who would have thought everything concerning this kind of games.
Drivethrurpg's announcement of having Teach your kids to game -week starting on Monday 11/14 caught my attention. While it will be years before I can think of running games for my own kid(s), this is something I'm very interested in. If you have kids of your own and you're interested in introducing rpg's to them, I think this is something definitely worth checking out!