For reference I bought a used Nintendo black Wii nunchuck (not a 3rd party version). It works great. Since the new version is a bit more expensive, I specifically looked for a used Nintendo nunchuck for two reasons. 1) Second hand is cheaper which is good for a general purpose video game controller. 2) Nintendo makes high quality products, so 95% of the time you can buy a used product and not worry about it breaking or not working. It works for both Wii and Wii U, you just need to connect it to the Wii Remote (which also works with Wii U). You need this controller for every game, but whether you need it or not depends on the particular game you want to play. So check the game to see what it needs or doesn't need to fully enjoy the game.
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