HD 800.
-better soundstage in width and depth, clearly better imaging and SKELETON BUILDING aka CRAFTING THE SONAR ARCHITECTURE OF THE GAME WORLD MAN
-seriously, the imaging is clearly superior
-better clarity throughout
-more (micro)details
-lower distortion throughout the whole spectrum and yes, better bass, the kick-bass section is very very tight and HARDHITTING
-better comfort
-needs at least a Modi 2 Uber and a Vali, else forget about it. Gaming with X7 is good though if you care about Sony Playstation 4 and Microsoft Xbox One
Also needs performing the Anaxilus mod, otherwise the treble peak of the stock HD 800's should be awful for gaming. They will perform notoriously better with a better amp as well.
To be honest, I think using a HD 800 for gaming really is a waste of your money. If you want clarity and details for competitive gaming, then you'd be better off with the AD 700 (and $2000-$3000 richer). In the end a hard hitting bass is a distraction when gaming.
Or if you want a headphone that is also good for music, the all rounder, then the Fidelio X2 should do the trick. After all one thing are the scores on the OP's list and having access to pricier products, but in actuality MLE, Nameless and others don't use the highest scoring nor the pricier headphones.
Personally though, I think that if you want the very best (and reliable) setup then you have to make different ones for each usage. For gaming lets say a AD700 (or a AKG) + mixamp, then another for music with open-back phones such as the LCD 3 + Burson + DAC for music, then another for portable use (I suggest IEMs), and so on. There isn't a single headphone or earphone, dac and amp out there that isn't a compromise in one or more areas.
For example at the office I use the HD600 -for music-, while at home I have the Oppo PM-3 as the all rounder (the 3.5mm input supports the V-Moda BoomPro mic), the HD598 for uberpro gaming (and for HD555 nostalgia reasons), and for portable use I have the Xiaomi Piston 2. Of that setup, I'm looking to upgrade the IEMs and that's it. Well maybe I could have a better amp at home too.
Or if I were to have the simplest yet best setup as possible, I'd get a really nice IEM for music and isolating gaming, with a top of the line DAP so it works as DAC on the PC at home and at the office. Secondly get a really nice open headphone for gaming in mind (the AD700 or maybe the AKGs), with a soundcard or external DAC that supports dolby surround stuff, then sell the rest.
