NOt sure I have too much to add. Reading level most popular adult fiction is probably well within your daughter reading level. The idea of a "teen" genre is relatively new and mostly is filled as you have found with teen romance and paranormal stuff. The big genre to avoid is adult romance which can be quite explicit. I'd say horror as well but you might have to know your child, I LOVED Alfred Hitchcock short stories as an early teen.

It's already been suggested by mysteries particularly Agatha Christie, Sherlock Holmes can be good. Books like Jules Vern, 100,000 leagues under the sea, journey to the edge of the earth, etc. can be fun.