(Update: As of May 14, Monument Valley is available on Android!)
Monument Valley is a creative puzzle game that looks like something Wonderputt developer Reece Millidge would create and plays like Echochrome (or BOXGAME, if you like), even though it's made by ustwo, the developer of Whale Trail. Set in a surreal world of shapes and tricky perspectives, you control Ida as she ventures from level to level, walking on walls and twisting platforms as she tries to figure out where she's at and what the heck is going on in this dreamlike world.
All you have to do in Monument Valley is tap to send Ida walking along the path. Drag and twist blocks to move them around, altering the landscape so she can get from point A to point B. Here's the catch, though: Monument Valley isn't about realistic depth or direction, it's about perspective. If a block looks like it's touching another block, it is, even if the 3D logical side of your brain says it's above or in front. Sometimes you'll turn the same block a few times to move across an entire level, even though that "shouldn't" be possible!
Monument Valley more about the puzzles than the story, but it still feels like an adventure game. One that takes place in the most bizarre Arabian Nights tale you could imagine. There's a great sense of awe as you explore the stages, both in terms of the gameplay and the mysterious characters you'll encounter. Monument Valley is simple enough to immediately understand, but it provides enough wonder and amazement for hours on end.