The common goldfish is a breed of goldfish with no other differences from its living ancestor, the Prussian carp, other than its color and shape. Goldfish are a form of domesticated wild carp and are a close relative of koi. Most varieties of fancy goldfish were derived from this simple breed.Common goldfish come in a variety of colors including red, orange, red/white, white/black, yellow/white, blue, grey/brown/, olive green, yellow, white, and black, with the most common variation being orange, hence the name.