A free app for Android, by Overhead Games.

ePic Character Generator (eCCG) is a handy utility for quickly creating an avatar for yourself or a character you wish to create, by simply using the available pre-made templates. As it turns out, creating an avatar is easier than one might think. All you have to do is simply choose a template, select the skin or eyes, hair, clothes, accessories, etc. Then you just have to click and wait for the program to create your character. It only takes a few seconds, so you can create as many characters as you need. You can also save your avatars to your device or share them with other users. The good thing about eCCG is that it’s free, so there is no harm in giving it a try.