Game Dev Story is one of my favorite iPhone games ever.
It's a super-addictive simulation style game in the vein of Sim Tower. You've got to build a game development house from scratch -- hire people, train them, get licenses for new game consoles, choose the genres and approaches, and someday get a game into the Hall of Fame, or even win Game of the Year.
The game dynamic hits the perfect level of casino-style addiction. They've recently released one new game out now -- Hot Springs Story, where instead of games, you're dealing with customer service and trying to run the best hot springs resort in the land.
I can't help but wonder, can these games ultimately turn educational? The Game Dev Story moral was pretty clear: invest in your people, and your product gets so much better. Which turns out to be true in real life as well.