I can think of a number of games you could make with it!
- Press the button
- Press the button X times in Y seconds
- Press the button faster than anyone else
- Press the button timed to the background music
- Don't press the button
- Press the button... IF YOU DARE
These are sure winners, especially in the iPhone market!
More seriously though, I can imagine Minesweeper, Tic-Tac-Toe, and the Guess the Number game are examples of games which could indeed be made with this library, along with most (if not all) puzzle games and many casual games.
Games can exist on just about any medium in some form. Maybe not the games you're thinking of, but then you should perhaps look up the definitions of "game".