I don't know enough about the system to GM it, but I'd definitely also like to try and play, since the last Dresden game here faded so fast. If we're going with a 'League of Supernatural Misfits' type theme, I think I can adapt my last character concept pretty effectively.
An outdoorsman/explorer - mountaineer, cave diver, rock climber, whatever he could find to keep that adrenaline rush going. He just kept hunting bigger, badder, and more dangerous places to explore, until he ended up going just a bit too deep and finding himself in the cave of a Dragon. Luckily for him, he managed to fast-talk his way out of BBQ status, but found himself contracted/enslaved as the reclusive Dragon's Emissary. For the most part, he just tries to live a quiet life now, having gotten all the adrenaline he could ever want, but his 'patron' has other ideas and frequently sends him messages of tasks to complete or missions to go on, that range from utterly mundane and simple to death-defying and hair-raising, with no rhyme or reason between them that he can figure out. Also a power-flexible sort of concept, though I imagine some sort of fire affinity/fire breath would be the first power I'd pick for him.