What games for the iPhone involve breeding or combining to get new items?

I like games like pixel people and dragon vale but was looking for something new. It can be gardening or farming or animals but I want something that you have to combine two things in order to obtain something new.

Dragon city or pet shop story i play both on fb so you should get them on computer

Doodle god is pretty good, and you don't get the annoyingly long waiting times for things that they tempt you into spending money to speed up the process with