I'm kind of torn. Like it's been posted, DC has Batman, and there are very few characters that can rival the depth of Batman's character and story. I mean, the guy's written as just a regular human with money, skills, and wit - which he uses to battle bad guys far beyond his strength and power. I'd rather see that than the beefcake superpower who can never be beaten.
Then again, Marvel has the Fantastic Four and Spider-Man (whom aside from the crazy clone saga, and trying to get rid of Mary Jane - which they finally managed to do

-) were also deep characters. Even though they have superpowers, the creators and writers made a good call on making them painfully human. Though what I'd like to see in the comics nowadays is a truly virtuous hero - THAT would be a breath of fresh air in todays culture with its blurred lines of justice and morality.
That said, given the chance I'd choose Marvel - big Spider-Man fan all the way.