Right now I am using Dacmagic with Gilmore Lite and these are the headphones I bought and sold after I got the 680's.
Denon D5000 - better mids than the 680, but overpowering bass, completely drowns you in some songs, the 680's are much more balanced overall)
Beyer DT770/250 - these were my favs before the 680, I found them to sound a bit too smooth and cushy, the 680's are way better at resolving details and intricacies)
Shure SRH840 - the absolute dullest most lifeless headphone I've heard in that price range and above. There is no extension on either end, and it kinda does nothing exceptionally well, and nothing wrong as such. The treble doesnt sparkle, theres not much detail, the bass is slightly undefined, the comfort isnt great (gets stuffy quite quickly), I was most dissapointed with these since I really had high hopes for them
I have the triple.fi's now, and although its an unfair comparison to do IEM vs full size, the 680's win there as well for me. The triple.fi's have a slightly overpronounced mid range which sounds a bit rough, and the bass is all over the place IMO, its there and extends fairly ok, but detail and listenability are missing.
I'll have the Beyer DT990/600 in house tomorrow, will see how those fare.