Every year we hatch a small percentage of white pheasants and very dark pheasants. The white is a form of albinism. The birds don't necessarily have red eyes; it depends on the genetic origin of the albinism . Unfortunately, the mutation seems to decrease its life expectancy. The dark pheasants' plumage is caused by melanism.
White animals are still seen as an anomaly. On an estate like this one with a healthy population of Fallow deer, we are often stopped and told by someone that he or she has see "The White Deer". White fallow are surprisingly common. It's a coat colour and not a form of albinism. I have seen 5 or so white animals in a single herd of wild Fallow, but I never have the heart to tell the visitor that his sighting was anything less than amazing. Or that we prefer not to shoot the white deer because we use those to help us spot the herds of darker fallow that blend better with their woodland surroundings.