Hahaha...it's a good thing you added that Twilight comment. lol.
1984 by George Orwell...it's a classic, and it's amazing!
To Kill a Mockingbird by Lee Harper, if you haven't already read it in class...it's another classic.
The Stephanie Plum novels by Janet Evanovich starting with One for the Money...they're not classic, but they'll make you laugh!
My Sister's Keeper by Jodi Picoult
The Secret Life of Bees by Sue Monk Kidd...if you don't want to read the book, and you just want to watch the movie, that'd be okay. The movie is really good and does a good adaptaion of the book.
Harry Potter...of course, I'm hoping you have read them.
Peter Pan by J.M.Barrie...it was meant for children, but it's good, and it's a classic.
Read Grimms Brothers tales...they originally wrote like Cinderella and Rapunzel...and I think Sleeping Beauty...it's interesting to read the real stuff.
I haven't read anything by Lewis Carol, but I've been meaning to. He wrote Alice in Wonderland and Alice Through the Looking Glass. They're supposed to be really good.
Hope I helped!