Those both look like Comets to me. ( I had to look it up TBH.) Pretty fish.
"Whilst the common goldfish has 'stiff' fins, the Comet has long flowing ones; it is also smaller than 'regular' goldfish. However the main way to differentiate between the two is the Comet's long heavily forked tail; they have a slI'm body and only have a tail fin and a single analfin"