These days, there are no proper formal variations of the German Pinscher — but that was not always the case. There are those that have been resurrected and are marketed as rare breeds, but they are not breed from uninterrupted bloodlines, and if you plan on acquiring such a dog, you would do well to do your due diligence of the breeder, the dog, and all that.
As all these dogs are short-haired, there are no other lengths in this breed. As such, there is really no German Shorthaired Pinscher. If you hear a german Pinscher called a Zwergpinscher Standard, then you should note that this is merely German for Miniature Pinscher — or Min Pin — which is simply another name for this breed.
Some people consider the coat color as a variety, and in that regard, there is a section elsewhere on this page devoted to to colors and combinations. One was the solid black German Pinscher, and the other is mentioned below: the salt-and-pepper-colored Silberpinsch. Prior to that and in the late 19th century, there was even a Harlequin coat color!
Until the early part of the 20th century, there were a great many varietals of this breed. The Second World War, which was responsible for a vast loss of dogs and no small number of breeds, was the when these varieties were lost. It was after WW2 when the Standard Pinscher was used to bolster the breed' great losses. These variations were the Schweizer Pinscher and the Seidenpinscher. The Schweitzer was also known as the Jonataler Pinscher, the Pfisterlinge, the Silberpinsch, the Swiss Salt and Pepper Pinscher, and the Swiss Shorthair Pinscher. The Seidenpinscher didn't have as many nicknames, but it did have a couple: the German Silky Pinscher and Silky Pinscher.