The other night I had a bit of trouble finding a definitive answer to this question, so I figured I’d answer it for anyone else wondering the same. Yes, just about any set of headphones will work with the Xbox One headset adapter (for game / chat sound at least).

Since I’m ‘deployed’ and have a roommate I had been previously plugging my Bose headphones into the TV so that I could game without bothering anyone, however being able to plug my headphones directly into the controller (via the adapter) has made things much more convenient. You can receive game and chat audio wirelessly via the controller, though not all headsets will work for chat (it would seem inline microphones won’t work).