I third TPoH suggestion, it's one of the most excellent things I've ever read.
And now, something I always have to mention: Archipelago. This one is finished (it ran for 11 years and 4 months, I think), the first 20 pages were redrawn at some point but still, the art (and pacing) at the beginning isn't... good. That just makes the improvement even more staggering. Here's the first art, equivalent page of the redrawn prologue, and art soon after the comic ended. I just love all the characters in this and the story is interesting too! I love this comic so much...
Oh! Another webcomic I like a lot is Jackie Story. It's a... very obscure adventure flashcomic featuring aliens. I'd say it's pretty much character-driven. And it's currently on hiatus.
And now, something I always have to mention: Archipelago. This one is finished (it ran for 11 years and 4 months, I think), the first 20 pages were redrawn at some point but still, the art (and pacing) at the beginning isn't... good. That just makes the improvement even more staggering. Here's the first art, equivalent page of the redrawn prologue, and art soon after the comic ended. I just love all the characters in this and the story is interesting too! I love this comic so much...
Oh! Another webcomic I like a lot is Jackie Story. It's a... very obscure adventure flashcomic featuring aliens. I'd say it's pretty much character-driven. And it's currently on hiatus.