A depressing book, if you think about it, but nevertheless, I grew up with it. My mom actually would sing me the little song almost every night. (I was reading before I even finished pre-school, a bit of a brainiac before I even knew what a brainiac was, so I was still pretty young.)
I wish I could remember the title but I can't... The first book I ever read on my own as a child without help was about a dragon who was friends with a unicorn but didn't have wings because he wasn't brave (and went on a journey to get his wings). Was a nice story for a child to read
Spot the Dog. I think i read it when I was in preschool/kindergarten and it was basically like "Spot is a dog." "Spot can count." "1, 2, 3, 4, 5." I was so amused though, despite how simple it was!