I grew up with books like The Hobbit, Lord of the Rings, Animal Farm, and The Last Unicorn. Later I moved on to Anne Rice among other authors. Although I did have some typically child-oriented books, such as Harold and the Purple Crayon, I was always encouraged towards more adult-oriented reading.
I've already begun continuing this tradition with my daughter. I read to her from whatever I happen to be reading. So far this has already included Lord of the Rings, Ishmael, and the Dalai Lama's book on science, as well as websites like OffbeatMama.com, Feministing.com, and CNN.com.
My hope is that she will become an avid reader like myself. We'll see how that goes.
As an aside: I still haven't managed to master the motherly art of feeding my baby and myself in a day >.< Baby gets fed, I don't... This needs to be fixed.