I don't know where all this K701 bashing is coming from. Admittedly I have never heard them stock, but I think they are really something else. As for what genres of music they work for, they do most everything damn well, I wouldn't however choose them for the faster dance music (130bpm range) as they lack the bass impact that makes one move, they do really well with slower paced electronic music though. I am selling the Beyers I got (600 ohm) because I just think the K701 is much more musical whilst sounding natural, and being neutral. Am listening to some dub right now, and while the AKG's lack the impact they do wonderfully convey the depth and strength of the basslines. As for rock, they again lack impact but do convey the complexities and the movement that is in the bass. Bass is deep and well controlled.
For gaming the DT-880's win no question, they are more detailed and have better imaging. The DT-880's do have a fuller sound to them, but I wouldn't say the 701's are thin, and I wouldn't say they are analytical either. One thing I noticed when I first got the AKG's and tried to play counterstrike source (just deathmatch with sound off and music playing like I always do) was that I couldn't really concentrate on the game. I was like What I never heard this before. The AKG's demand attention in a way that the Beyers never did for me.
But again, mine are recabled, although I don't imagine they make such a huge improvement of what some claim stock to be.