I have the species C.australis, C.australasica, C.inodora ,C.garrawayae, C.glauca. All potted plants, and some quite small and struggling to grow.
Various named hybrids: xSydney (virgata?), Eremolemon, Eremoorange, Blood Lime, Sunrise Lime, Faustrime, Faustrimedin.
Varieties is more complicated. From various discussions, I tend to think that the naming of many of the Finger Limes is of doubtful value.
Various individuals and growers have collected specimens from the wild and given them names for commercial reasons, but there has been no independent comparison to see if there are significant differences between them. Yes, colours vary and fruit size varies and growth habit varies. But no-one knows if there is really any difference between Lovely Green, Tasty Green, Wonder Green and Green Beauty. (My made-up names!)
I have types with peel of red or red/brown, black, green, yellow. Flesh of green, yellow, pink/red. Internal and external colour varies with growing conditions.
I also have lots of seedlings of various sizes that may one day fruit. I'm hoping for a nice blue one!
Mike/Citrange