I've touted this blog -- called Hyperbole and a Half -- to a couple people in the office, because it's funny as hell. But I figured I'd note it here as well, because it's really a form of storytelling.
Check out, for example, this post. It's a straight-up narrative that reads like a graphic novel or comic. At a couple points, art alone picks up the narrative. It has dialogue. Conflict-resolution (although the resolution is less a dramatic conclusion than it is a gentle letting-you-come-down-from-laughing-so-hard ending).
There has to be a story or two out there to approach this way, whether with art or photos. Be on the lookout.