Blue Shrimp, Neocaridina Heteropoda var Blue, are the same species as Red Cherries. As such, they are nearly as prolific. Mine in particular are very blue and breed true.
Sakura Red Shrimp, Neocaridina Heteropoda var Red, is a more solid red morph originating from Cherry Red Shrimp. I would consider them the next level up from Cherry Reds, but behind Fire Reds in red intensity. Males look pretty much the same as normal Cherry Reds. Females however, turn brighter and more solid red as they grow older.
Yellow Shrimp, Neocaridina Heteropoda var Yellow, were selectively bred from the Wild type just like Cherry Reds. They are just as hardy and prolific as Cherries, and can be kept in the same conditions. These are one of my personal favorites as they stand out so well in the tank.
These Neocaridina Heteropoda Wild type are pretty much the coloration that all the color morphs like Cherry, Yellow, Snowball originated from. The females are of a brown coloration and males a spotty brown color. Can be kept in the same conditions are Cherry Reds and are just as prolific.
Red Cherry Shrimp, Neocaridina Heteropoda var Red, is the most popular and common shrimp in the hobby today. They are extremely easy to take care of and very prolific. From these, there have been several higher grade red shrimp developed. I also keep the Sakura and the Fire Red lines of Cherry Shrimp. Look for posts and photos of these coming soon.