There are some people who have more than one console sitting around their house, but mainly stick their favorite. If you happen to prefer your Xbox 360, but want to play on your Wii, your fingers might get a little confused as to button placement at the first. While you can and will get past that, you might prefer your Xbox controller over the Wiimote.
While the normal Xbox controller can’t really accommodate that, the Pro Controller U for Wii and Wii U will work quite nicely. This is a third party device, so it won’t be the exact same, but it will be more familiar. It has your analog joysticks, D-pad, triggers, speakers, vibration, and it has motion control. The battery is rechargeable, and as it uses Bluetooth, you can also use it for your Android. Not too shabby for $40.