Are we including the Vertigo inprint in this discussion?
I was always a Marvel fan and never really cared for DC until quite recently when I got into The Sandman. The Sandman, while slightly detached from the regular DCU, was still set in that DCUniverse (unlike most Vertigo titles which aren't bound to it). I began to more and more look into Vertigo titles, such as Lucifer, which became my favorite series, and then Fables -- the only comic I regularly read these days.
With my taste for Greek myth, I naturally was attracted to Wonder Woman, given her history and backstory, and reading some back issues fell in love with the character. Also had a good time reading some of the newer Teen Titans, and Outsiders. However, I was never able to get into reading the big two of the DC universe. Superman's appeal has forever eluded me, and Batman I get bored of.
Basically, what I'm trying to say is that I went from MArvel to DC. The reason being the writing. The X-Titles, my Marvel stable, have gone downhill considerably. From the induction of Morrison and Austen, I actually lost interest in characters I previously loved. The only Marvel comic I still read these days is Academy X, but even now that is really, really, starting to annoy me with the constant gimicks it's trying to pull.