If you are asking about blue/green eggs, the simple answer is Aruacanas and Amaruacanas lay blue eggs and are both recognized breeds, while Easter Eggers are a more common mix that lay anywhere from pink(more of very light brown) to green to blue to olive eggs.
I have a turken/easter egger cross that lays olive colored eggs, an easter egger that lays light green eggs and a few of my brahmas and a turken/brahma cross that lays pink eggs.