I don't have a list, but yes and no to your question. You can't play Wii U games with other controllers, but some homebrew and emulators let you use the Pro Controller and other HID controllers. However, it varies per homebrew, so your best bet is to look up the specific apps or emulators you want to use and see if they have a list of compatible controllers. Also, note that some controllers require specific USB adapters, and some wireless controllers might still require a USB cable.
As far as I'm aware, you can't use third-party or even Wii U Pro Controllers with Wii games, but you can with GameCube games via Nintendont.
