Here's what I've read off of the BBC list:
The Lord of the Rings, JRR Tolkien
The Hitchhiker's Guide to the Galaxy, Douglas Adams
Harry Potter and the Goblet of Fire, JK Rowling
To Kill a Mockingbird, Harper Lee
The Lion, the Witch and the Wardrobe, CS Lewis
Rebecca, Daphne du Maurier (the first few chapters in English class, rather horrible)
Great Expectations, Charles Dickens
Harry Potter And The Philosopher's Stone, JK Rowling
Harry Potter And The Chamber Of Secrets, JK Rowling
Harry Potter And The Prisoner Of Azkaban, JK Rowling
The Hobbit, JRR Tolkien
Treasure Island, Robert Louis Stevenson
Dune, Frank Herbert
The Count Of Monte Cristo, Alexandre Dumas
Animal Farm, George Orwell
A Christmas Carol, Charles Dickens
Of Mice And Men, John Steinbeck
The Colour Of Magic, Terry Pratchett