The child from two to three is ready for more complicated stories and pictures. Books that are cumulative or repetitious are big hits. Children of this age like to think they are independent yet cared for. ARE by Maurice Sendak are perfect now. Seek out books with imaginative use of language.
Children love silliness, and they love to learn new words.
Be sure to include a lot of stories with well developed characters and strong plots. Continue with books that are cumulative and repetitious. Repetition helps the child learn and make connections. Include simple nonfiction books too, such as ones about animals or machines. Picture book plots can be longer and more complicated.