The Xbox One seems to have had a little less press than the PS4 in regards to failure rates, but both seem way way way waaaay over reported.
With the PS4 Sony reported a .4% failure rate, that seemed to increase to "under 1%" due to "damage in transit".
- Under 1% DOA is actually a really good success rate for a major electronic device launch, that would rate as best in the industry, beating out even the likes of companies that do very well in this regard, like Apple (iDevices generally have between a 1.5-7% failure rate at launch).
The Xbox One's numbers are harder to find, and since it was a multinational launch, obviously that would effect the amount of DOA units that I see in American social media... but it seems to me like the launch went exceptionally smoothly. No major network issues, and a low failure rate. Only a small number of DOA Blu Ray drives, but, again, nothing to suggest an actual problem. Just normal, or better than normal, failure rate.
Sony and MS have both handled replacing the DOA units in a very consumer friendly way. Sony overnights packaging to send the PS4 back in, and MS has been reported to ship replacement units to effected users before they even send anything back! They're both doing an exceptional job about it, IMHO.
We should see credible media sources out there shouting about how this was the most successful set of console launches in history. But, instead, we have fear mongering BS. *sigh* I don't think either console deserves bad press over this.