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 Gold Wireless Headset review - SoundGuys
Fortnite Neo Versa Gold Wireless Headset Bundle, White - Walmart.com
Soft Headband Earpod for Sony Gold Wireless PS3 PS4 7.1 CECHYA-0083 Headphone | eBay
Amazon.com: PlayStation Gold Wireless Headset - PlayStation 4 : Everything Else
Amazon.com: PlayStation Gold Wireless Headset White - PlayStation 4 : Video Games