I know you say this in jest, but actually, it might be possible. Xbox One runs a version of the Windows Store, so you could build a UWP mining app for it. I doubt they'll approve it for the store, but maybe there's a way to side load it?

Come to think of it - these could make a superb mining machine! That GPU is going to outperform RX 580 with it's slightly higher shader count and far higher memory bandwidth - the latter being crucial for Ethereum mining from what I understand.