I am a big fan of comics, although I am not familiar with Web Comic. I have been a fan of a few like 8-Bit theater and the now defunt Flintlock Adventure. I recently reading up and following a Web Comic of Ursula Vernon "Digger".
It is quite an unusual story, as the pretext at the top of the page said, "A wombat, a dead god, a very peculair epic". This is the story of "Digger", a female wombat who accidentally thrust into an epic adventure by chance. I would not say more, but would recommend you read from the start. While the art looks nice, the dialogues are pure gold. There are many great lines in this comic. I really love the dialogues :)
Ursula Vernon has always been a very entertaining writer, as you can see from reading her blog, and the same goes for many of her works as well.
I would highly recommend reading Digger, especially now that it is free to read.