I recently picked up some Sennheiser U320s on sale from Woot with the intention of using them with my XB1. I already had some Audio Technica ATH-M50s I use for single-player games and music, but I wanted something with a mic for multiplayer games. Initially I was bummed because the XB1 setup was a failure with my TV, but I decided to try it on my PC and the results have been pretty great.
They're open-back, so you can hear other sounds in the room, the mic mutes automatically if you flip it up, and they're extremely comfortable. I've found I can wear them for hours on end without fatigue, so they've become my main headphones for most things. I got mine for $75 when they're originally over $200, but you can currently get them on Amazon for about $90. I highly recommend trying them, especially if you don't want to spend hundreds of dollars.