Comics are known for superheroes. If you read or have read comics, you most likely had a few superhero titles in your pull list every week. Although I've slacked off on my comics due to financial reasons, I still read a few superhero titles, but I also have an affinity for some really great non-superhero stuff that's out there. If you don't read anything sans spandex, here are my suggestions:
100 Bullets (Vertigo)
Ex Machina (Wildstorm)
Y: The Last Man (Vertigo)
Non superhero titles are many and various, but these are just a few that I'm attached to. If you have any you'd suggest that I didn't mention, post 'em!