I have a rather wonderful App for you, today. Even if you don’t dig the legitimately decent physics-based puzzles, the questionable Engrish voice acting will keep you hooked.
Save Toshi (iOS) is about a Japanese pop star who, for some reason, has forgotten how to walk. Your job is to get her to the dance floor by shooting various blocks and maneuvering the catatonic caterwauler around the environment. It’s a pretty simple concept that takes a little bit from the best physics puzzlers on the market and makes something quite charming indeed.
I don’t think you will be disappointed with this one.
[Found a free App for iOS or Android? Think it’s good? Hitting me up on Twitter is the fastest way to let me know about it. Please do so — finding good free games is hard!]