Not really, at least not in the Marvel/DC sense - apart from having a massive book of Batman stuff that I've had since I was a wee nipper (but that owed more to the repeats of the '60s TV series that were shown on ITV when I was about 5 than to any interest in the comic books per se), and the recent interest I've taken thanks to Avengers Assemble. Even there, though, my interest is in the less superhero side of things - Natasha's back story, Tony Stark's snark, and Bruce Banner (as in, specifically Bruce rather than the Hulk).
Having said that, there's one series of graphic novels that I've loved since...well, again since I was about 5, and that love isn't going anywhere in a hurry: Tintin. No, I know he's not a superhero in any real sense, but he's a bit of a hero to me.
At some point I hope to check out Gaiman's Sandman, mind you.