Which mobile game should I play?

I think you'll enjoy playing Cut the Rope Series.
It's quite a fun game with puzzels in each level. You have to successfully clear each level with all the Three Stars to complete a Section and Enter the next one.
All of the Cut Rope games are awesome but my personal favourite is Cut The Rope : Experiments.
I think you should give it a try, it's available on Android and iOs (don't know about Windows).