The U.S. Department of Education suggests that these might be good starting books for beginning readers:

Bringing the Rain to Kapiti Plain by Verna Aardema
Read about the book and an activity to do with your child based on the story.

The Carrot Seed by Ruth Krauss
Read about the book.

The Three Little Javelinas by Susan Lowell
Read about the book and some activities based on it.

Alphabatics by Suse MacDonald
The letters of the alphabet are transformed and placed in 26 illustrations so that the hole in "b" becomes a balloon and "y" turns into the head of a yak (an ox with long hair).

Suddenly! by Colin McNaughton
Time after time, Preston the Pig outwits a hungry wolf that is trying to catch and eat him.

The Handmade Alphabet by Laura Rankin
Read about the book and some activities you can do with your child.

Potluck by Anne Shelby
Join in an online project based on this book.

For more book suggestions, visit the U.S. Department of Education's site.