You might want to distinguish between "remote" and "controller" There is only 1 type of "remote" they offer and (2) types of controllers or game pads. It is my understanding that both Gamepad controllers will work. I believe the Ouya also has a touchpad on it. Good Luck!
"We've tried to build the fastest, most precise game controller around. It has one special bonus -- a touchpad for another way to control things." [Emphasis mine]