The GXT 391 Thian from Trust is an affordable gaming headset that consists of 85 percent recycled material. It is also wireless.
Pairing with PC or PlayStation game consoles works via a USB-a dongle, and not via Bluetooth. If the battery is empty after 13 hours of gaming, you can always continue listening with the included 3.5mm cable.
Fixed microphone
With that cable, the headphones are also suitable for other devices that have such an input. Note that the microphone cannot be disconnected, but it can be muted. The suggested retail price of this headset is 69.99 euros.