I had come up with other gemstone-colored eyes in a previous suggestion, but since I've seen more eyes come out since then I'm inspired to do more, this time with more bicolor-twists!

Ametrine (perhaps dropping Amber, Saffron and Pink as fails)



Lapis Lazuli (perhaps dropping Blue, Yellow and Aqua as fails)



Diaspore (perhaps dropping Peach, Pink, Yellow and Green as fails)



Diopside/Star Diopside (perhaps dropping Jet, Silver and Gray as fails)



Pietersite (perhaps dropping Yellow, Amber and Crystal as fails)



Flourite (perhaps dropping Pink, Mint and Ice as fails)