Mystique. Chapter 1: Foetus - Sneaking its way to the iTunes App Store from the Android market, Mystique is a 3D horror adventure game that's really a spooky room escape game in disguise. You're trapped in a dark and filthy bathroom, complete with bathtub filled with blood, and naturally you're looking for a way to get out. Explore the room using the 3D interface and see if you can piece a few items together to fashion a way out. The game is painfully short, but it's free and it's only the first episode.
Paper Toss - My third grade teacher had a rule about throwing paper in the trash bin. You could shoot from anywhere in the room as often as you like, but if you missed, you had to pick up every piece of paper in the room. Of course, this led to some epic moments of failure where we got to mock a tosser for his terrible shooting skills. Now we have fun apps like Paper Toss, a game that simulates throwing paper in a waste bin, complete with wind direction and speed, without the annoyance of picking up paper if you happen to miss.
Evacuation - Both aliens and your crewmates are trapped in your ship's cargo hold! Instead of going all Rambo and blasting them to alien bits, we're going to be a little more brainy and open/close colored doors to let the vacuum of space suck out the baddies. The first few levels are a piece of delicious waffle pie (does that food exist? it should...), but soon you'll have to do some fiddling to get the aliens out without popping your crew's skulls. Be sure to try the original Evacuation Flash game.
NOTE: Games listed may not be available outside of North America. Prices are subject to change and are therefore unlisted. Please see the individual game pages for purchasing info.