1. Katniss Everdeen, from The Hunger Games
Katniss is a very strong girl that defies all odds that are against her.
2. Kristina Snow, from Crank
Kristina was a girl, faced with drug addiction, ends up having 3 kids, and is still crippled by drug addiction
3. Ever Bloom, from the Immortals series
Ever is a girl who has faced the death of her entire family. She is a very strong person, and has gone through a lot.
4. Sookie Stackhouse, from Dead Until Dark
Sookie is an odd character, but faces vampires, and other forces, and still comes out on top.
5. Hermione Granger from Harry Potter
She is one of the smartest people that I have ever known. She always has a way to get Ron and Harry out of the current situation they're in.
I love all of these characters equally, and they all deserve the best in their own respective novels.