Pride & Prejudice
The Count of Monte Cristo (perhaps an abridged version, perhaps not)
The Three Musketeers (again, perhaps abridged)
A Tree Grows in Brooklyn
A Tale of Two Cities (although you might have to encourage her to stick it out for a bit... it starts slow, but turns into a page-turner)
Watership Down, maybe?
The Princess Bride (maybe not a classic, but a very fun read)
Lord of the Flies
I don't know your daughter, obviously, but for me, Mark Twain and Hemingway and some of the other selections below did NOT resonate for a long time. I'm still kind of "eh" on them, style-wise, although I understand why they're important and well-regarded. I just think that for younger readers, those books might be a little bit more appealing to boys than girls, especially for a girl coming out of young-adult fiction which often includes or even revolves around romance.