I have also recently been enjoying The Spectacular Spider-Man. It's a nice simple new version of the Spider-man story, influenced by The Batman's anime-ish look. But the stories are concise and well done, with decent characterization and compact plots. There's a running plot, but it's not especially necessary. And I'm a big fan of the Spidey villains, and like what they're doing with them. And, oh, the fight scenes. Spidey actually fights like Spidey in the comics, and it looks fantastic. Recommended.
* - In the opening credits, he's even walking up the side of a building.