I picked up one of the new Xbox wireless headsets that just came out after a friend ended up with an extra pair. After almost a week of use, I'm happy to report that they're awesome.
Previously, I'd been using a wired pair of headphones - an open-air Audio Technica set - and was mostly happy. The sound quality was excellent, and my only complaints were the cord getting tangled up all the time and the drain on the controller's battery.
The Xbox wireless headset alleviates those issues, with one caveat: the sound quality is a little lower. After a week of usage though, I don't really mind the minor step down. The new headset lets me hear my game audio without being tethered to my Xbox controller, and doesn't draw power from it, so it lasts longer. And I can charge both via USB-C, so it's easy to keep each ready for play. I'm really happy with this thing!