AlphaGo has no form of state space discovery. That really prevents all the magic that strong AI fans want. Even though the actual rules of Go are a minor part of the program, the human who put them in was doing something that AlphaGo fundamentally can't do. AlphaGo can't learn what Go is, it can only take an existing understanding of the rules and learn to play very well.

You can expect a lot of advancement in actual games very soon, including ones with randomness, and after a few years probably hidden information games too. Being able to specify real-world problems as formally as a board game is now a more effective skill than it was before (it was good already).