The PlayStation Gold headset is probably the only wireless headset which is directly compatible with PS3, PS4, PS5, Android, PC, Switch (Personally tested) Get hold of them before they are super rare. :
Amazon.com: PlayStation Gold Wireless Headset 500 Million Limited Edition - PlayStation 4 [Discontinued] : Video Games
Amazon.com: PlayStation Gold Wireless Headset - Uncharted 4 Limited Edition : Video Games