My gang likes anything told in rhyme. Brown Bear, Brown Bear and Very Hungry Caterpillar are still out
These two books are a couple of my groups favorites as well. I have a felt board and pieces for these stories so that probably doesn't help! I've got a young group so they like a lot of the 'touch and feel' books, mostly about animals. I try to get to the library as much as possible but it doesn't always happen. This means that yes, there are many many books that I can read without even looking at the words.