A free app for Android, by Avatars Makers Factory.

Avatar Maker: Pets is an avatar-making application that is designed for Android. This application is free and easy to use. It has a very simple interface, which makes it very user-friendly. The main window is a blank canvas. You can add text, draw lines, rectangles, circles, and other shapes. You can also use different colors to make your avatar more beautiful. 

The second window is the list of all the animals that you can choose from. You can select any animal to create a new avatar. The third window is a preview of your avatar. You can save the image in the gallery and you can also share it with your friends.