My little boy is 3, and adores a lotof books.
Of late we have had a constant repeat of:
The Trouble With Elephants
Under The Bed: Paul Brite
And any number of Dora The Explorer and How Do Dinosaurs... and Harry and His Bucket Full of Dinosaurs.
And In The Night Garden.
The Dinosaurs and Night Garden books are fantastic for a toddlers vovabulary and for encouraging a childs phonetic and vocal gymnastics.
I really like Where The Wild Things Are by Maurice Sendak, The Tale of Benjamin Bunny by Beatrix Potter, Richard Scarry's ABC, Green Eggs and Ham by Dr. Seuss, The Foot Book is also fun, Richard Scarry's A Story A Day is 365 one page stories. There are a few other classics-- The Little Red Hen is one of my favorites as well as The Three Little Pigs. There I am done. Add Mother Goose for good measure.
There are so many favorites! Here are a few: The Seven Silly Eaters, Clara Caterpillar, Clorinda, Ella the Elegant Elephant, Katy No-Pocket, Best Friends for Francis, Lilly's Purple Plastic Purse....and I could go on and on.
If you look at my website- www.lollipopbookclub.com - you'll find a ton of children's books that should be fun for you to explore.
My girls' is Love You Forever by Robert N. Munsch and Sheila McGraw. The cover may look like it's a potty training book, but it is just about the sweetest book ever. It makes me teary eyed and sentimental every time!