Sennheiser HD 560s.
Amazon.com: Sennheiser HD 560 S Over-The-Ear Audiophile Headphones - Neutral Frequency Response, E.A.R. Technology for Wide Sound Field, Open-Back Earcups, Detachable Cable, (Black) (HD 560S) : Electronics
www.amazon.com
I happily paid $200 for these, and they are on sale right now for $160, which is an absolute steal.
Trust me on this, I've used a lot of headphones and I sold them all after I heard these. You can't really do any better for an all-around pair of headphones at this price point. It would be a massive upgrade over your hyperx. It's open back, so it has a good soundstage and good imaging for gaming, it has a nice tonal balance for music, and a wide frequency response. It's also super comfortable and has detachable cord.
See RTINGS review for measurements
One of the only cons is the frequency response drops off slightly in the low end. There is still plenty of sub-bass; however it won't really "thump" hard if you're into that type of sound. I prefer this, as the sub-bass is still present, but it won't fatigue your ears as much. The only other con is that it uses a 2.5mm input, so your standard 3.5mm aux cable won't fit. This is easily fixed by buying this
adapter, which will allow you to use any standard 3.5 mm aux cable you have. You can even plug a
V Moda boom pro mic into the adapter to use as a headset. I do this to game on PS5.
Edit: Also, ignore anyone who says these headphones require an amp. They are driven just fine from a controller, your PC's onboard audio, or a phone, and get plenty loud enough. Anyone who says otherwise likely has hearing loss.