The Kindle FreeTime Unlimited is now out. It is unlimited access to books, tv, movies, games and educational apps curated and oriented to 3 to 8 year olds. Amazon has removed all ads and disabled any in-app purchases.
The price starts at $2.99 if you are an Amazon Prime member or $4.99 if you are not. Kindle FreeTime Unlimited is only available for Kindle Fire tablets. There is a one month free trial to try it out.