There are literally numerous types of goldfish that it would be extremely hard to even identify them all without writing a whole book. See beneath for a list of pretty amazing goldfish pets that are readily obtainable to most consumers.
Just like the name indicates; the Common goldfish is a regular, run of the mill, orange colored goldfish that likes to play and is completely fine living amongst various breeds of fish.
Equally as pleased in a pond, as they are in a fish tank, the Comet is among the most sturdy types of goldfish you could come across. They're lightning swift swimmers with large, stunning tails and are normally a mixture of orange, pink, white and occasionally red colors.
The Black Moor has an extremely distinctive color for a "goldfish" since they are black. They don't see especially good because of their eyes, which protrude and primarily only see to the side of them. They are often the ridiculous little trouble-makers of the group and like to interrupt anything that is on the bottom of the tank.
The Bubble Eye is sight disabled like the Black Moor. These varieties of goldfish have the typical orange and white shades, but they are distinctive because of their upward facing eyes and large "bubble" sacs around the underside of their eye. They likewise have no dorsal fin and will have a difficult time feeding if you do not hand feed the food to them.
The Ranchu is an attractive goldfish and just like the Black Moor; they actually do not appear like they belong to the class. They usually have red, pink and white coloring. They've got a notable back, no dorsal fin along with a big bent abdomen that sort of resembles a half heart. The head is also notable, making this among the most lovely and special types of goldfish you can find.