Why? I honestly cannot see why anyone would want to do this. If you stream to a bog standard PC you are still sitting in-front of a screen using the Xbox pad with lag and compression. If it's a gaming PC... this puzzles me even more?!? And for third party set top boxes with varying versions of android and processors, speeds and ram I'd imagine it to be a compatibility nightmare!
Just pick up your Xbox and move it to another room. Chances are you have more than 1 TV; Lag free, compression free and only takes a minute to do.
If anyone actually has a good use case for this I'd love to hear it.