I agree with you on Narnia. I have yet to read LOTR. However, I read The Hobbit for fun in high school and I adored it.
I really like Harry Potter and Twilight.
Romeo and Juliet is amazing. My favorite play by Shakespeare would have to be Taming of the Shrew. My favorite play overall is The Crucible. I also really love The Da Vinci Code and Angels & Demons. I could go on for hours about all the great books I've read.