After reviewing the images I used to make my icon (I created it's original project at an image size of 1155x1209) I realized that I actually have the color gradients backwards! The inner space is supposed to be green with the outer edge blue/purple.

The new eye color:
[+] Reverses the Colors
[+] Adds a Round Pupil (Proper fox slits were just too creepy)
[+] Added patterning for the iris, to make it look a bit more like a real eye.
[+] Model has a new protruding sphere lense/cornea. This is given a DGS_Material that is very nearly transparent. Based off research via this website the Refractive Index of the cornea is 1.376.
[+] Basic colors without full textures have been added to the model because I was bored. They are only for these previews and will not be present once I continue working on the mesh again.
[+] Added a border around the teeth because I thought it looked neat.