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Having just been down this rabbit hole, it very much depends on what features you want & what your budget is.
I play on PS4 but from what I understand you just need to buy an adapter then any of the wired sets will work with the xbox (if you want wired).
I had a budget of ~150, wanted wired, decent sound quality & a mic. Ended up with some "HyperX Cloud Revolver S" (for ~100) which despite the terrible name are actually really good & I would definitely recommend, though the virtual surround sound won't work with an xbox (I hardly ever use this feature as it's kind of BS on consoles), they're great as a stereo headset.
Some decent brands to look at; HyperX, Astro, Turtle beach, Steel Series, Razor (though I had a pair of their cheap ones and returned them because they were rubbish, the more expensive ones seem quite popular.
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https://steelseries.com/gaming-headsets/arctis-1-wireless-xbox
or for nearly double the price but has the headband thing which is so comfy
https://steelseries.com/gaming-headsets/arctis-9x
Any recommendations for headsets for an Xbox1?