I sort of making illustration on glowing eyes setup for Iron man.
You can read it for the setup.
As in your case, I can think of two setup. One eye is completely blocked, and the other is see thru.
So you can only see thru one eye.
For a see thru eye, just use clear acrylic with LED on the side. You can add "strips", by scrape the acrylic surface (this method called ghosting?) to add more light on the clear surface.
For blocked eye, use white translucent acrylic.