Classics? Les Miserables”,”The Count of Monte Cristo”, “A Tale of Two Cities”, “The Canterbury Tales”, “Crime and Punishment”, “The Travels of Marco Polo”, “Bleak House”...
She will get to them. I picked those three because I loved them when I was her age (13). I enjoyed the books you mentioned when I got a bit older. Plus, she loved Hunger Games, so I thought LotF would be a good way for her to see how modern fiction is inspired. I picked Animal Farm because hubby and I talk politics a lot, and I thought it was a good choice to introduce her. I picked Fahrenheit 451 because I loved it so much, period. I have so many to introduce to her, but her school has no required reading, and I kind of just try to judge best what she is ready for right now.
Speaking of which, Barnes & Nobles' website (and I presume store too) has their buy two B&N classics and get one free sale going on again. And if you can't decide, just buy 199 books for $562. Or if you and a couple of friends want the sets you can buy two get one free on the big set too.