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.
I really enjoyed “The Hobbit” at that age. :{) I envy people who haven’t read the great books because they can still look forward to the experience of doing so.