I was directed to this a few weeks ago. It's a pretty charming web serial. I figured I might as well reccomend it here. I don't know if it's to anyone's taste here, but I'll try to summarize in a non-spoilerish way...
The story is (right now) approximately umm... hold on, I think it's over 2 million words now? We're past at least 1.5m, so it's crazy long. It updates twice (minimum) a week and will be finishing (allegedly) this Winter, so it's not a bad time to dig in I think. When the story is finished, the author will be going the way of Kickstarter to get physical copies to people, after editing the whole mess.
The story starts off rather simple, well, the premise is familiar at first. Teenage girl gets superpowers. What the story excels at is characterization and diversity, as well as a more mature kind of moral fiber (the protagonist is put in situations where she often must do evil to further her idea of good). I really have no idea how this story is going to end, so that's saying something from me, anyway.
Well, enjoy. It was a fun read for me when I first started, hope it doesn't disappoint those who give it a shot.