Yes, it does exist, and you can find the info here: Microsoft Complete for Xbox One | Xbox Extended Service Plan - Xbox.com
$69.99 for 3 years in US
$79.99 for 3 years in Canada
$69.99 for 3 years in US
$79.99 for 3 years in Canada
Hmmh, I read something about this same thing, but it including console, Kinect and 2 controllers for those 3 years. Also it had to be made withing 45 days of purchase, but I can't see mentions of 2 controllers or the 45 days here.
Microsoft Complete is an extended service plan for your new Xbox One console and Kinect. Microsoft Complete provides you with three total years of coverage for your console and Kinect sensor. Additionally, Microsoft Complete provides a warranty for two controllers. Microsoft Complete is only available within the first 45 days after your purchase.
Yes the PS4 has the same thing. $49.99 for 3 years. Much more cheaper.