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. :
PlayStation 4 Fortnite Neo Versa Bundle Gold Wireless Gaming Headset Jet Black | GameStop
PlayStation 4 Gold Wireless Headset Rose Gold | GameStop
Sony PlayStation Gold Wireless Headset (White) 3003339 B&H Photo