Reddit mentions of Peek-a-Boo! Miniature Edition (Viking Kestrel Picture Books)

Congratulations!

My kids are now adults, and I teach young children. Over the years, these are the books for very young children that I have found to have the most staying power.

Infant/Toddler/Early childhood books: (you can read these to a child under 1 year, he or she will appreciate the rhythmic sounds, and both words and pictures acquire meaning as time goes on.)

Goodnight Moon and Runaway Bunny by Margaret Wise Brown (simply the best parental bonding books)

What Do People Do All Day by Richard Scarry

PeekABoo, The Jolly Postman and Each Pear Each Plum by Janet and Allan Ahlberg
All three books have engaging text and illustrations that both child and adult can appreciate.

Little Blue and Little Yellow This book, in my opinion, is a work of art on several levels. Kids never get tired of its reassurance.

No, David by David Shannon (but IMO the other David books are not nearly as good)

Caps for Sale Another book with repetitive rhythms for children, with an amusing story

Blueberries for Sal A classic that has stood the test of time, I still read this to the class every fall.

The Lion and the Mouse This is Aesop's fable, told with no words, only Jerry Pinkney's amazing illustrations. Two, three and four year olds ask for this story over and over again.

Other favorites:

The Tenth Good Thing About Barney

Ferdinand the Bull

The Cat in the Hat

Harold and the Purple Crayon

Authors to consider: Jan Brett, Shel Silverstein, Judith Viorst, E. B.White, Frank Asch, Roald Dahl.

Robert Munsch gets mixed reviews but to me, The Paperbag Princess is a must.