So, this is a bit of a tough one but I think you could manage on the headphones that aren’t -technically- wireless. what I mean by this is by connecting a Bluetooth adapter to headphones with detachable cables. Such as seen here https://www.amazon.com/Mpow-Bluetooth-Transmitter-Headphones-Hands-free/dp/B01KXIKCSI/ref=as_li_ss_tl?s=electronics&ie=UTF8&qid=1508329188&sr=1-5&keywords=mpow+bluetooth&linkCode=sl1&tag=zeos-20&linkId=99e5b23c007acd4bad9b10fd5921f4f5
Using something like this in a headphone with a detachable 3.5mm cable will turn the headphone into a bluetooth headphone. Which if your using a pc with a bluetooth connection or your phone it will work just fine.
Though I will definitely agree with @Pr3ssAltF4 that wireless practically destroys audio
You mention you are a casual gamer and music listener but do you know what kind of sound you prefer? Styles of signature and the like? Might help us nail down a headphone that’s more ideal for you.