Here's one you might like:Ancient, Strange, and Lovely by Susan Fletcher
Dragon, girl, and guy (although he has kind of a small role)
and while you're at it you can check out the whole series.
There is also this one:Leviathan by Scott Westerfeld
Definitely a favourite,
There are no dragons but an awesome female heroine that dresses as a guy in order to join the British airforce.
To make a long story short she falls for a guy who doesn't know about her true identity. The whole thing is epic!
There's also Starcrossed by Elizabeth C. Bunce
and Witch Song by Amber Argyle
In both the girls are seriously kick-ass (pardon my wording).
First one is about a thief and the second about the last witch.
If you want to find more books I suggest you go to this website:
You are not allowed to view links.
You can find many books there