I actually agree with the not liking to re-read books. I don't like it very much either. It's not like watching a movie or listening to a song over and over again. You start to remember it a little more, yeah, but you also start over analyzing things.
I like The Count of Monte Cristo too, To Kill A Mockingbird, and Of Mice and Men. I read them in middle/high school. I took a Shakespeare class in high school and out of those I think I like Macbeth and A Midsummer Night's Dream.
Oh, and A Tale of Two Cities by Charles Dickens.