Note: this blog has been migrated to Medium, with the articles here available to preserve permalinks. Please see this post at https://medium.com/@ianrbuck/monument-valley-review-f27501a934e5#.mulduk4ux
Monument Valley was a good place to start. It is a puzzle game in which you use MC Escher inspired architecture to guide a princess named Ida through the different levels. The path available to her is determined by what the landscape looks like from your perspective.
screenshot album to see all of them.
Android, iOS, or Kindle.