I'd like to see, a Xbox mining coins, whilst it's idle and then depositing this, as credit, back in to the internet, for the user to benefit from, when he/she plays.

Given this would cost the user substantially more in electricity than they'd see in bitcoin, I doubt they'd consider it much of a "benefit".
Riddle: if I mine 2.0btc in 30 days with only 1x 1500watt miner, how am I doing it?
In the past.