Just remembered the Tosakin variety, they have the body of a ryukin but their tail isn't split, it's like a long skirt

They're bred to live in ponds, so they're extra hardy, and look very beautiful when watching them from above

I'll add a picture.
Now, about the goldfish varieties lost in the war:
It was of course not intentional, but in the bombings the cities and the goldfish industry along with them were destroyed. Very sad. And there aren't that many people in the end that are trying to get these breeds back, but I hope that the few who try will succeed!
There was this long tail variety of ranchu that they were breeding in the early 1900 called Shukin, these were never too poular in the first place though :/ Among many more that I don't know the names of, sorry :'D
While we're talking about history, I could add that at one point during the Edo period, the Japanese government made it illegal to keep goldfish, they thought it was a kind of luxury, and so they confiscated every goldfish they could find.
Fantailer: Many of the fish you chose are only different colors of the same variety, you could remove a few of them to make the list less heavy for the presentation, such as:
Lionchu Goldfish (A hybrid)
Panda Moor Goldfish (Just a color.)
Sarasa Comet Goldfish (Just a color.)
Goldfish Albino Doll (Just a color.)
Calico Fantail Goldfish (Just a color.)
Sarasa Fantail Goldfish (There is no such thing as a Sarasa fantail)
Demekin Goldfish (This is just the Japanese name of Telescope eye goldfish. The chinese call them Dragon eyes for instance)
Pearlscale Moor Goldfish (This is just a hybrid, adding those would make your list a pain)
Siamese Doll Goldfish (Just a color)
Tasmaba Goldfish (Do YOU know what this is? Never heard of it)
Watonai Goldfish (This is sort of a long-tailed variety of the wakin, to be exact, a cross between this and a ryukin)
Froghead Goldfish (This is a bubble eye with smaller eye sacs)
Willow Goldfish (Basically a fantail)
Hibuna Goldfish (Common goldfish)
Shukin Goldfish (This is a long-tailed ranchu)
Crescent Tail Telescope Eye Goldfish (This is just a different tail shape)
Goose Head Goldfish (This is a high headgrowth, usually seen on red cap orandas and pearl scales)
Dragon Back Goldfish (This is a term for the ranchu's or lionhead's back...)
Edonishiki Goldfish (This is a calico ranchu in Japan)
High Head Goldfish (Again, a name for a head growth concentrated to the top of the goldfishes' head)
Midnight Shubunkin Goldfish (Just a color variety of the shubunkin)
Tiger Head Goldfish (This is a chinese name for lion head)
Long Body Telescope Eye Goldfish (This is a cross between a common/comet and a telescope)
Single Tail Pearlscale Goldfish (This is not exactly necessary to add since this is just a Pearl scale that doesn't follow the "double-tail" standard)
Pua'a Goldfish (No, this is again a cross that makes a chubbier common goldfish)
Double Bubble Eye Goldfish (I assume this is a bubble eye with slightly "split-looking" eye sacs)
Pheonix Goldfish (This is an egg fish with long tail)
Blue Egg Pheonix Goldfish (Another color)
Curled Gill Goldfish (This is a genetic defect that people figured would look cool)
Telescope Tosakin Goldfish (Another hybrid)
Ribbontail Goldfish (A kind of tail that both fantails and ryukins can have)
British Fantail (No.)
Panda Oranda Goldfish (A color)
Lemon-Head Oranda Goldfish (A color)
Bristol Comet (Never mind)
Short Tailed Ryukin ( This is just a tail variety)
Telescope Pom Pon Goldfish (Another hybrid)
Top Veiw Ranchu Goldfish (This is just a ranchu that happens to be especially pretty)
Japanese/American Shubunkin Goldfish (Noooo, you already mentioned all the shubunkins needed)
Side View Ranchu ( This is another ranchu, just a ranchu, not a variety)
Philedelphia Veiltail Goldfish (This is considered a "true" veiltail, so you can just skip the "Philadelphia" part)
Oriental Twintail Goldfish (Basically a ryukin-type fish bred in China)
Imperial Goldfish (Oranda with bigger headgrowth, no)