I am creating this post to discuss interesting and educational iPhone games and apps for kids. So as topic starter I would like to be first and would like to share such educational iPhone game as Kinder Hangman - http://sharkfuel.com/kinderhangman.html and my kids like playing it. Also, I have noticed that this iPhone game helps develop a vocabulary of a child. It allows to remember different words easily. Hope that it will be helpful for preschoolers. So, if you know any other interesting games which could be helpful for our kids, don’t hesitate to post them here. Thanks in advance.
Here are some threads where this topic was discussed 
Hope this info helps.
http://forum.brillkids.com/general-discussion-b5/reviews-of-ipadipodiphone-(ithing)-apps/
http://forum.brillkids.com/general-discussion-b5/iphone-apps/
http://forum.brillkids.com/general-discussion-b5/is-anyone-using-ipad-for-kids/
Hi guys. Make sure to visit LunchboxReviews.Com when you’re looking for educational kids apps. The site collects, categorizes and rates apps for toddlers, preschoolers and young children. There’s an educational category with numerous subcategories. You can sort or filter by rating, free, and your type of device (iPhone/iPad/iPod Touch). LunchboxReviews.Com
You can also consider iPhone applications for kids included in the review of best kids educational apps These applications can be perfectly used to educated children. Highly recommended!
This is what modern technology gives us today,the children to learn more using smart phones and tablets were initially developed for adult use, but there’s a growing pattern of toddlers and kids using touchscreen devices. Educational games can now be enjoy using this devices by uploading in just a minute. One application developer, called Fingerprint Digital, has five apps that have collectively clocked more than 2 million minutes played in just 20 days. Resource for this article:"Educational apps clocking millions of minutes played"Educational apps clocking millions of minutes played