Yes. There are breeding organizations and registries, as well as standards and fancy mice shows. Fancy mice are almost always regular house mice, Mus musculus.
You betcha! "Fancy" mice really are just domesticated mice that someone has bred selectively for some trait. Rodents are easy to breed and have fairly short lifespans so they're ideal for selective breeding attempts.
Yes, there are many places that breed and sell fancy mice. Litters have as many as 20 or more baby mice. They must receive optimal care in order to survive adulthood.
Though it may seem unusual, many pets such as mice and rabbits are bred, and are sold to other people who would like them, so yes there is such a thing.
Yes of course! Fancy mice is just a cool word for domesticated house mouse. Breeding fancy mice means breeding a litter of some kind of mouse. Pet store mice could be considered fancy mice.
es, Mice are notorious for their rapid breeding& litters, but there is more to raising a healthy and successful than just putting a male and a female together and waiting.