My 09 Aveo is doing the same thing. Everything worked when I bought it but slowly electronics have stopped/intermittently dont work. Did you have any other problems besides the battery dying before you pulled the fuse?
I currently have no airflow at all until nearly highway speeds, rear passenger window gets no power, clock resets, passenger airbag light is always dim or off, lost power to sunroof a few times and recently break lights would work with one press and not the next.
All of these components worked when i purchased the car 7 months ago. The only thing I noticed when I first got it was the rear passenger window, that now doesn't work, was getting less power than the rest and moving slower.