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. :
Sony PlayStation 4 Gold Wireless Headset Rose Gold | GameStop
PlayStation Gold - Wireless Stereo Headset for PS4 Unboxing - YouTube
PlayStation Gold Wireless Stereo Headset Review - IGN
PlayStation Gold Wireless Headset (The Last of Us Part II Limited Edition) für PS Vita, PS4, PSVR, PS4 Pro