They are all examples of Neocaridina denticulata sinensis. Like the others have stated, Red Cherry shrimp have been selectively bred for more red color. People have just created arbitrary 'common names', such as Red Cherry, Fire, Red Wine, etc... for ambiguously defined color intensity and hue. There are many instances of this in hobby shrimp keeping/breeding. There are two serious problems that occur with this model of name usage.
The first problem with is when misinformed vendors or hobbyist breeders use a common name that is normally associated with one species (Neocaridina denticulata sinensis a.k.a RCS) with a different species of shrimp (Caridina cf. cantonensis sp.). This problem is less common than it used to be, but I'm sure it still happens today.
The second problem occurs when someone purchase shrimp with different common names, not knowing the correct scientific name. This can lead to mixing selectively bred shrimp of different color variations, but of the same species. The resulting offspring are rarely anything the buyer desires, and can ruin years of meticulous culling and selective breeding.
I highly recommend that hobbyists keep a log of all of the fish, shrimp, and snail species that you have in each given tank. Keep track of scientific species and common names, as well as dates new additions, maintenance (water changes, test results, amount of light, filter changes), and deaths (that you see).
If you have the room, Quarantine Tanks are a must (at least one). They are used to house new purchases before adding them to their intended home, for segregating sick/injured animals, or possibly as a hatchery/nursery (in a pinch). You don't need an aquarium for this. I've used good quality plastic tubs with a handful of filter media for substrate and a sponge filter for years without problems. To keep the tubs cycled I keep MTS in them. I tend to replace them after five or so years, but I've never had one crack or break.
