There are two main ones I follow:
The first is Dead Winter, which is an ongoing Zombie apocalypse story. That's definitely a cliche setting at this point, but if you care about that, this comic started before that craze began. It has some drama, but overall, it doesn't take itself overly seriously, since there's still a good amount of humor and the characters all have a lot of personality.
As for the second, it's not really a single comic, but rather, any comic uploaded to the site "Kiwis By Beat", which has been various things over the years. I first got into it through the comic "Minus", which was a somewhat surreal comic about a young girl named Minus with magical powers who used it for various purposes, though since then, there have been various others, like "Great", a story about the upturns and downturns of a guy's life, as he continually strives to be great, and Modern Fried Snake, which I'm still not completely sure what its focus is, but it's interesting to read. There are also various shorter comics he's written as well on the sie. I mainly like the comics of that artist since they often have a somewhat offbeat sense of humor, and the comics often feel a little odd or surreal in some way.
Anyway, here are the sites for both in case anyone wants to check them out:http://deadwinter.cc/http://www.kiwisbybeat.com/