I really enjoy this Ios game called Blockheads. It's basically like Terraria, if you know what that is, or a 2.5d version of Minecraft if that makes any sense. One of the interesting things about it is that you can set up your little dude to say, mine 20 dirt. Then if you switch apps, or go do something else, you can come back and he will have mined it for you. Also, you can have up to 5 little dudes per world, you can build a market that lets you trade with players around the world, and you can join multiplayer worlds (though I haven't yet, I'm still learning on Singleplayer) All for free!
The looking glass server just use the D pad to drop down.
The whole world is themed around Lewis Carroll's books.
http://theblockheads.net/join.php?id=91759d32906dd9d9503c0b3e20d4962b&name=LOOKING%20GLASS