So I did a little research and discovered there is a truckload of games that are AI based.
Interestingly, there are online platforms set up strictly for AI game competitions like the StarCraft AI Competition hosted by the university of Alberta.
The field of AI in gaming is not restricted to the design of the game itself as a lot of complex interactions achieved within many games are only different combinations of algorithmic calculations.
There are also www platforms with instructions on how to develop algorithm-based games for interested game developers.
Check these cool resources out, you just might be the next big game developer; with the help of algorithms of course!