I have an original Xbox One (the big black box) and have had no issues. But then again, my internet connection is very stable and the Xbox seems to like that. I also have my Xbox 360 nearby that's plugged in in case I want to play some games that I have for it that are not BC with my Xbox One (namely, Kingdoms of Amalur, which I absolutely love). I'm not saying that the Xbox One is perfect, but I have never had any issues, including freezing up, with it. The updates went smoothly the last time it was required, but it wasn't a really "old" model that had one of the first iterations of the operating system.
I actually enjoy the controller over the 360 one, and the wireless feature seems to have no issues. I actually prefer a wired controller since the Xbox One is very close to where I play, so I'm not worried about how far away I get (I usually sit near the TV and system, anyway...great for the eyes). The BC functionality of the Xbox One is awesome. Some games I really just want to play on the Xbox One, other games I can't (as I mentioned), so I am keeping my 360. Besides, both machines compliment one another on my gaming shelves. As far as retro games go, I have a few (Pac Man, Ms. Pac Man, Galaga, Dig Dug, Asteroids) and they all work just fine with no issues.
I am far from saying the Xbox One is perfect, but my particular system is fine and everything (knock wood) is working as it should. The most enjoyable game I've been playing so far is Elite: Dangerous.