Color Variations of the Goldfish (Carassius auratus auratus)
Prussian Carp (Carassius gibelio). The reason for the seperate scientific names is that, through specialized breeding, variations of the Goldfish have become so different from the Prussian Carp and though they are very related, the Goldfish has earned a name all of its own. However, were a hobbyist or scientist to begin selective breeding on the Prussian Carp in the same manner as was begun thousands of years ago, they would find that, over time, the Prussian Carp would in fact "become" something similar to the Goldfish that people can now find in their LFS (Local Fish Store). That being said, the Common Goldfish variety does very closely resemble its "ancestor", the Prussian Carp.

Theoretically, if one were to cross breed the varieties below, the third or forth generation would result in a return to the original wild variety; the Prussian Carp (Carassius gibelio). Also, there are said to be an estimated 125 varieties of Goldfish in existence today.
Common Goldfish

Black Moor

Bubble Eye

Celestial Eye
 |
Comet (Goldfish)

Fantail (Goldfish)

Jinkin
Lionhead (Goldfish) |
Oranda
- Calico

- Orange

- Red Top/Red-Cap

Panda Moor
|
Pearlscale

Pompom (Goldfish)
Ranchu

Ryukin
 |
Shubunkin

Telescope Eye/Demekin/Globe Eye/Dragon Eye

Tigerhead
 |
Tosakin/Curly Fantail Goldfish/Peacock Tail Goldfish
-Brown and Yellow
-Orange and White
-Red

Veiltail
|
Images Courtesy of Wikimedia Commons.