First thing is do you have quiet or noisy environment?
While enabling strong lowest "rumbling" bass closed headphone design otherwise sucks for sound quality having huge challenges and usually causing heavy compromising.
For open design you could anyway get very good headphones for not much more than £100.
AKG K701/702 are among absolute top for competitive gaming with huge binaural soundstage.
Unlike in similar Audio-Technicas their bass is there and actually reaches pretty low if you listen for it, but it simply always takes back seat to details giving average "fun factor".
For more fun Beyerdynamic DT990 whose meant for studio use Pro version is around £100 would have bell balanced sound for gaming.
It has excellent for open headphone bass immersion with big soundstage which allows bass without it drowning that much of details unlike in small soundstage headphones.
Though soundstage is notch smaller than in AKGs and also fun bass makes distinguishing foot steps andsuch harder when there's low frequency sounds.
But that doesn't mean they wouldn't shred typical closed headphones to atoms.
More expensive (~£200) AKG K712 has near DT990 level fun factor with above neutral bass added to it.
Sound is also as bad/good as weakest link so for anykind fps games you need binaural simulation to get to good immersion.
Sound Blaster Z would handle 250 ohm Beyers well while having Creative's excellent binaural simulation.
https://www.overclockers.co.uk/search?sSearch=sound+blaster+Z
With good headphones for gaming this sounds like actually being in there instead of listening to headphones/recording.
While typical closed headphones are like putting head into bucket... under water.
And this is how binaural sound works in games.
Though with closed headphones with small soundstage none of these sound really any special.
