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 PULSE 3D Wireless Gaming Headset for PlayStation 5 | GameStop
Cloud Stinger Core Wireless Gaming Headset for PlayStation | HyperX – HyperX ROW
PDP AIRLITE Wired Headset: Void Black - PlayStation, PlayStation 5 PlayStation 4 - Walmart.com
Sony PULSE Wireless Stereo Headset Elite Edition for PlayStation 4, PlayStation 3 and PS Vita Black 99037 - Best Buy
PlayStation 4/5 & PC Camo LVL50 Wireless Headset
PlayStation 4/5 & PC White LVL50 Wireless Headset by PDP
PDP Gaming LVL50 Wireless Stereo Gaming Headset with Noise Cancelling Microphone: Black - PlayStation 5, PlayStation 4, PC - Walmart.com
Buy PlayStation 4 PlayStation 4 Gold Wireless Stereo Headset Black | eStarland.com
New Official Wireless Stereo Headset Coming for PS3 – PlayStation.Blog
PlayStation Headsets | PlayStation®
Will Your PS3 Headset Work with PS4? That's Not Easy to Answer | Push Square
Sony PlayStation 4 Wireless 7.1 Virtueel Surround Gaming Headset - PS4 + PS3 + PS Vita... | bol
Sony PlayStation Ps4 Wireless Gold Headset for sale online | eBay
onn. PlayStation Wired Video Game Headset with 3.5mm Connector, Flip-to-Mute Mic, Cooling Gel Earpads and 50mm Speakers - Black and Blue - Walmart.com
Sony PS3 Wireless Stereo Headset review: Sony PS3 Wireless Stereo Headset - CNET