I honestly thought back to this super Mario 64 speedrunning video where this dude talked about how to beat the game with the fewest possible A button presses. More specifically how to beat a certain level without pressing a more than once. The fact that there was so much depth in deciding when to press A and what actions were available to you based on whether or not you were still holding it down showed off how versatile Mario 64's movement really was. I went with the idea of being able to press each button only once because I thought that I could take a basic platformer, but force the player to always be considering what actions are available to him, and which buttons he will need to save for the future.
Check my game out here, it's called Full Press and, even though I don't think it's a winner, I think I made a good attempt at exploring the idea.