The problem with most games on Android is a distinct lack of cute. This is no problem for Pet Rescue Saga, which just arrived on Android and is positively overflowing with puppies and kittens. I think there are some puzzles in there too.
Pet Rescue Saga is a casual puzzler that ties in with Facebook. In fact, the game has over 10 million players on the Facebook app. The game affords you the opportunity to solve block-based puzzles and compete against your friends.