Recommended me a gaming headset

A Corsair Void

VOID PRO GAMING HEADSET: ENTER THE VOID

Best Buy lists a few. But I`m sure there`s no Best Buy across the pond

https://www.bestbuy.com/site/over-th...at331200050000

Bose or Sony make the best headphones money can buy, in my opinion.

On-ear Wireless Headphones | Bose

https://www.sony.com/electronics/hea...and-headphones

Did you google it ?

I dont know if you've made a purchase yet, but I personally use a Sennheiser Game Zero. They have everything you're looking for, but I'm not sure if they work with Xbox One. The jack is standard 3.5" so it should. They're also on-ear, collapsible, and come with a carrying case, as well as an additional 2.5" jack. Audio quality is excellent and crisp.

Downsides:
1. Mic cant be detached, but is adjustable
2. Some say the volume is a bit low, I personally am not an audiophile, it's plenty loud enough once they're broken in.
3. A bit spendy

If they're not loud enough for you then you should look into buying a USB DAC/amp. I dont feel like it needs one though.

Hope that helped!