I took a look at that "100 top books" list from the BBC everyone's posting, and I was actually surprised by how many of them I had read:
2 The Lord of the Rings - JRR Tolkien
3 Jane Eyre - Charlotte Bronte
4 Harry Potter series - JK Rowling
5 To Kill a Mockingbird - Harper Lee
6 The Bible
7 Wuthering Heights - Emily Bronte
8 Nineteen Eighty Four - George Orwell
9 His Dark Materials - Philip Pullman
10 Great Expectations - Charles Dickens
12 Tess of the D’Urbervilles - Thomas Hardy
*14 Complete Works of Shakespeare (some)
16 The Hobbit - JRR Tolkien
18 Catcher in the Rye - JD Salinger
20 Middlemarch - George Eliot
22 The Great Gatsby - F Scott Fitzgerald
23 Bleak House - Charles Dickens
27 Crime and Punishment - Fyodor Dostoyevsky
28 Grapes of Wrath - John Steinbeck
29 Alice in Wonderland - Lewis Carrol
30 The Wind in the Willows - Kenneth Grahame
33 Chronicles of Narnia - CS Lewis
36 The Lion, The Witch and The Wardrobe - CS Lewis
39 Memoirs of a Geisha - Arthur Golden
41 Animal Farm - George Orwell
47 Far From The Madding Crowd - Thomas Hardy.
49 Lord of the Flies - William Golding
52 Dune - Frank Herbert
57 A Tale Of Two Cities - Charles Dickens
58 Brave New World - Aldous Huxley
64 The Lovely Bones - Alice Sebold
65 Count of Monte Cristo - Alexandre Dumas
67 Jude the Obscure - Thomas Hardy
70 Moby Dick - Herman Melville
71 Oliver Twist - Charles Dickens
72 Dracula - Bram Stoker
81 A Christmas Carol - Charles Dickens
87 Charlotte’s Web - EB White
*89 Adventures of Sherlock Holmes - Sir Arthur Conan Doyle (some)
91 Heart of Darkness - Joseph Conrad
94 Watership Down - Richard Adams
97 The Three Musketeers - Alexandre Dumas
98 Hamlet - William Shakespeare
99 Charlie and the Chocolate Factory - Roald Dahl
If I count Sherlock and Shakespeare as 1/2 each, that's 42 out of the 100.