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 Wireless Headset Gold Edition
3.5mm Gaming Earphone Headphone Headset W/ Mic For Sony Playstation 4 Ps4 Controller | Fruugo SE
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Sony PlayStation 4 Fortnite Neo Versa Bundle Gold Wireless Gaming Headset Jet Black | GameStop