The LucidSound LS35X wireless headphones are officially licensed to work with Microsoft's Xbox console wireless hardware. You can get them for as low as $43.95 on Amazon right now.
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Microsoft has been pushing wireless for Xbox One, and has even expanded its "ecosystem" to start covering Windows 10 PCs. To that end, five new headsets were revealed through three separate partners.
LucidSound has a wide range of products and is committed to expanding its line of headphones to cover all scenarios. It has recently announced its LS25 eSports gaming headset, offering dual mics.
If you want a set of headphones for your Xbox One, but don't want to deal with wires or base stations, LucidSound has something you might want to check out when it's released later this year.