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. :
Official Sony PlayStation Gold Wireless Headset + USB Dongle - PS4 | eBay
CeX (UK): - Buy, Sell, Donate
Sony PlayStation Wireless Stereo Headset 2.0 - Black (PS4/PS3/PS Vita) : Amazon.co.uk: PC & Video Games
Sony Gold Wireless Headset for PS4, Black
PlayStation Gold Wireless Headset review - SoundGuys