Look at the caldecott honor/medal books if you really need more ideas (you've gotten plenty!) IMO you can always abridge an excellent book on the fly, and that is much better than reading a crappy book.
At 2 my son LOVED LOVED LOVED repetition. Same stories over and over, stories with a lot of repetition in them. I did a lot of oral storytelling, particularly of the three billy goats gruff and Jack and the Beanstalk.You can act them out with some little toys or something and then when they know the stories well, it can be a fun thing to do when walking or in the car.
Some oldies but serious goodies that I don't know if are in the lists above:
Caps for Sale
Harry the Dirty Dog
I Went for a Walk in the Forest
Blueberries for Sal
Make Way for Ducklings
My son also loved Owl Babies, I Went Walking, The Erie Canal (by Peter Spier), Each Peach Pear Plum.
Also just singing! "There Was an Old Woman Who Swallowed a Fly", "I Had me a Rooster...", "Sing a Song of Sixpence" etc. Lots of tradition nursery rhymes and/or children's songs are fun for kids who are into language.