The Recon 70 headset already exists for the Nintendo Switch; now, Turtle Beach has released variants of the same that are compatible with the Xbox One and PlayStation 4. The headphones have faux-leather cups over 40mm drivers, complemented by the OEM's flip-up mic.
https://www.notebookcheck.net/Turtle-Beach-releases-Recon-70-headset-for-PlayStation-and-Xbox.420036.0.html