I use a Turtle Beach Stealth 400 on PS4 (with a cable for Xbox One). The adapter works with Switch and PC/Mac wireless too. Had everything you could want in a headset. Comfortable, great sound, flexible mic, good mic monitoring, independent chat and game volume dials, easy controls, dual functioning wireless/3.5mm jack. Then it finally snapped! And you can't buy them anymore.
So I got the Turtle Beach Stealth 700, and it was ok but the mic monitoring was a bit random in what it picked up. The dual sound through 3.5mm was replaced with bluetooth which rinsed the battery, and sound occasionally crackled. Turns out it doesn't like 5ghz wireless networks, so they recommend you disable it. No thanks. So it went back.
Went with the Sony Platinum in the end as I mostly play PS4. Works well, it has a chat/game mix rather than independent volume which isn't ideal but is good enough. Mic monitoring has quite a low gate so picks up a lot which isn't translated back through to the game. The built-in mic isn't as good as a boom which is a shame but it's functional. It has a 3.5mm jack but as soon as you plug this in it disables the headset and puts it into passive mode only - which is ok but if you have sound and voices coming through (for example, using it on Xbox) then the mic can pick up the sound. Presumably when active it has some sort of noise cancellation or an active noise gate. I find it pretty comfy if slightly heavy, although the pressure on the side of my head is a bit too much after long sessions.
I tend to only bother with wireless headsets. I had the Steelseries Arctis 7 which was the most comfy headset I've used. It works via USB only (the two Turtle Beach ones have an optical connection to their USB dongle to allow separate game/chat channels) so you have to use the in-console game/chat mix if it has one (I think its only in a party in PS4). I had to plug it into a PC to get the settings menu up to adjust it to get the base to sound a bit puncher, even then at max level it seemed to be slightly too light. The extendable boom is handy, but I missed the chat/game mix dials or separate volumes.
After that, I upgraded to the Arctis Pro Wireless which is the Arctis 7 on steroids. I think from memory it has separate game/chat volume (or definitely a mixer) and it has a battery charger built into it's amp device (and easily swappable rechargeable batteries in the ear plate). The bluetooth worked well on other devices and didn't see too detrimental to battery life and the sound was good. However for some reason the band seemed ever so slightly shorter than the Arctis 7, so the ski band and metal band basically sat together on my head and it wasn't too comfy.
I'm also not convinced on the virtual surround sound or 7.1 in these headsets. Even on my platinums I play in stereo mode and it just sounds better to me, so that pretty much made the Arctis Pro Wireless feel like overkill. I think wired headsets give a lot more options (as there are more of them to choose from) but it isn't really practical for me to have something plugged into the console while gaming due to distance/propensity to forget and rip the console out of the sockets.