The platform game came about due to the technological limitations of the hardware at the time. (joystikrevolution.com)
The whole look of Mario came about through creative design in the face of graphical limitations of the hardware at the time. (cultureofgaming.com)
Here are the types of genres I can think of that the Kinect can't currently work with: First Person Shooters, Third Person Shooters, Sports titles such as Madden (unless it's just a series of mini games), Racing games (Joy Ride and Sonic Riders demonstrated the massive limitations of the hardware), Tight Platformers, Adventure Titles (or any title that requires copious amounts of free - roaming and backtracking). (toy-tma.com)