DH and I both read one book to each of the girls each night. She is 3.5 and loves to hear the same stories over and over!
Some of her favs are
Splat the Cat (it is about starting school and being nervous)
Alexanders outing/Who sank the boat - Pamela Allen (again)
Time for bed - Mem Fox (also has heaps of great titles)
Mannie and the long brave day - Martine Murray

FWIW, I think it is really easy to put them off reading. DH had to teach himself to read as both his parents can't so was been a tad OTT to begin with. It was really obvious that Miss 3.5 was not having a good time. So we are back to books about stuff she likes - fairies etc rather than his perception of educational value and about having fun with it. We also go to the library to choose new books each month.