OTTO: a Palindrama
Was the best book I've read to my kids this year.
My 6 year old has been running around the house talking in palindrome. My mind was blown, and I had a few chuckles at some of the inventive palindromes. The story barely made sense, but it didn't matter. Highly recommended.
Another all time great, when it comes to media based around palindromes, is Weird Al's Bob Dylan style parody, palindromically titled: Bob.
I’m a lasagna
hog, go hang a salami.
This sentence no verb.
Edited: to add superfluous line breaks not that they could have been anywhere else.
Also spoonerisms are fun for kids too, Jon Agee has book of those and it's also great. Shel Silverstein has "Runny Babbit" (Goctor Doose always gets a chuckle out of me)