Couch Compliant games allow you to choose game options and start the game using the controller, meaning you don't have to play with any switches on the console to do so. When your game is over, you can return back to the title screen (if applicable) and start a new game without having to touch the console.  Some games even allow you to interrupt the game in progress with the controller!

Note: This is not an exhaustive list, and we are working to verify that all Couch Compliant games are ultimately listed here.