I've owned the V6s twice, and currently the CD780s, and the latter blow away the former overall. Generally I don't think it's close (I prefer the KSC35s over the V6s also), however some have made comments about the 780s lack of bass (I don't have a problem) ... and though some feel it's overdone, the V6s excel in this department (why they are often recommended for movies and games). The mids and highs though are ruled by the CD780s. The mids are recessed on the V6 and the highs are its unforgiveable sin. I think the 780s make good rock, etc. phones. Never thought of them as purely classical or anything. They're pretty dynamtic. If isolation isn't necessary I say go with the 780s, but if it is a desire or you're a bass lover at heart, the V6s are likely a better choice. They're both pretty articulate cans.
I don't have much experience with the others.
Okay, this is probably my 1000th pro-780s post!