Thanks! I briefly used an Xbox One controller and it seemed to work fine. I don't have any other controllers to test. If you have one you can try out, let me know how it works (or doesn't work). If you let me know what kind of controller it is, maybe I can try to support it also.
I have noticed a bug with Unity and using multiple controllers that seems to only effect the triggers, which is used for throwing the snowball. If you disconnect your controller while in game on the title screen and then reconnect it, it should work. Also if you connect the controller(s) after starting up the game, it should work. Not sure why this happens. Give those fixes a try and see if you can get it to work. :)