I used to own a HyperX Cloud Flight. It’s the best wireless headset I’ve ever tried. It comes with a USB dongle, no Bluetooth. Worked out of the box on Arch. I bought mine before HP infested HyperX, but my sister uses a post-buyout one and she says it’s perfect.

Pros:

• Audio quality is great for fun (games and films), decent for music and critical listening. The frequency response has a common V shape, but the bass doesn’t blow out the top ends (eat a dick, Raycon).
• Eight-hour battery life, can be used while charge cable is connected.
• Aux input that bypasses the internal DAC.
• Signal can penetrate several solid brick walls.
• Comfortable even on my melon head.
• Mic is detachable. Quality is as good as an Aussie wanker can expect.

Cons:

• Micro-USB charger port.
• Volume control is a click wheel that sends volume up/down keystrokes to the PC. I had to remove it from mine because it wore out and would “bounce” and send several keystrokes every time I touched it.
• The earpads are covered in shitty leatherette that will fall off in a few months.

In general, avoid anything “Gamer”. You’re paying for the brand, not the quality. Even the cheapest “audiophile” headphones are better.

Wireless headsets will always be limited by their internal DAC. Another option is to get a decent wired headset and a dedicated wireless DAC. I currently use a modded Beyerdynamic DT770 and an AKG K-240, and if I need them to be wireless, I clip a Fiio BTR5 to the headstrap and connect it with a short cable.