Hi,
The eyes just got a little more realistic.
It went from this:
To this:
I really like the middle one
This is what I went with for the eyes, I duplicated the cornea part and separated it, I then slightly elongated it and applied a glass shader (IOR= 1.38 for the cornea). For the iris I went kind of like Michael and flattened it.
I supposed that my character had brown eyes, I couldn’t find anything on internet + all the pictures are black&white one
I am amazed by the realism of the glass shader, my cornea is in fact a lens, so if I view it from different angles this is what I get:
Long time I didn’t animate 
I think I will need to increase the roughness on the white part of the eye, it is a little too shiny 
Cheers !