https://itunes.apple.com/us/app/day-one-journal-diary/id421706526?mt=8 Even though this is not a game it is an excellent journaling app. I definitely recommend you to grab it!
App info is currently processing and/or the app is not yet fully available for sale on the US App Store.
Grabbed this awhile ago. From what I can see, this is really just a logical collection of everything you'd want to make journaling as complete and intuitive as it should be on a mobile device. Very practical and easy to use.