The Bandogge, or Bandog if you prefer, is not a purebred dog in the way we know the word purebred.
The words Bandogge and Bandog is being used on dogs of mixed Molosser ancestry, most often with Pit Bull as one of parent components.
The name Bandog, or Bandogge, comes from the old Saxon word "banda"; the Saxon word for chain. It was used on watchdogs chained at day and released at night, to carry out its watching and guarding duties. It is quite obvious that the name was used on any chained watchdog, Mastiffs, Bulldogs and dogs of mixed ancestry, but it is also certain that these chained dogs must have been of a recognisable watchdog type, which eliminates all dogs which was not of more or less Molosser blood.
This means that any Molosser cross of today could rightfully be called a Bandog, even if the most common crosses today which is called Bandog is the Mastino Napoletano/Pit Bull and the Bullmastiff/Pit Bull.
One of the fairly common methods of producing Bandogs is by crossing Pit Bull males with Bullmastiff bitches. This cross was earlier much more used in Europe than the Neo/Pit cross. Some refers to this cross as Bandogs, while others, especially in USA, call them Pitbullmastiffs. Considering that the Bullmastiff is a British breed, and that the Pit Bull is derivatived from the British "Bull and Terriers", this cross should be more like the original Bandogge of Britain than the Neo/Pit cross.
Another method to bred Bandogs is to cross the Pit Bull with English Mastiffs, but many breeders is of the opinion that the Mastiff is a too much laidback bred and they prefer using the Neo in the cross instead of the Mastiff, so the cross will be thougher and inhabit more gameness.
History of the Bandog
DNA sequencing has confirmed that all dogs (Canis lupus familiaris) originated from the wolf (Canis lupus); however, the exact development of the original Bandogs still remains a mystery. Although, it is impossible to say exactly how the Bandog originated, it is certain the original Bandogs were bred with a functional purpose, as were all working breeds, and for the Bandog this purpose revolved around guarding and protecting.
Early incarnations of the Bandog probably had bloodlines from bull baiting dogs and the Guardian Mastiffs or the cross of both like the war dogs used in the Crusades.
William Harrison, in his description of England during 1586, first mentions the type in his statement, "Bandogge which is a huge dog, stubborn, uglier, eager, burthenouse of bodie, terrible and fearful to behold and often more fierce and fell than any Archadian or Corsican cur." It is assumed that the word "Bandogge" originated from the use of strong bonds and chains to secure the dogs.
In 1576, Dr. Caius states that, among others characteristics, the "Mastiff or Bandogge is serviceable against the fox and the badger, to drive wild and tame swine out of meadows, and pastures, to bite and take the bull by the ears, when occasion so required." 
The Bandogs of old were strictly working dogs, often of various crosses and various sizes. Usually these dogs were coarse-haired hunters, fighters and property protectors without a strictly set type, developed from eastern shepherds and mastiffs crossed with western Bullenbeissers and hounds, with a few local bloodlines eventually being established as specific types in some regions, such as Britain, Spain, Germany, Poland and elsewhere in Europe. One of the most famous Bandog programs in England led to the establishment of a recognized breed, the Bullmastiff.
What is reported here is just an estimated expected average range of various foundations breeds commonly seen in various Bandog programs.
The Primary Group
, approximate average of 25-75% from American Pit Bull Terrier and/or Bull Terrier.
The Secondary Group
,approximate average of 25-75% from English Mastiff and/or Neapolitan Mastiff.
A Tertiary Group
(used in some programs) approximate average of 0-75%: American Bulldog, Boerboel, Bullmastiff, Bulldog Campeiro, Cane Corso, Dogue de Bordeaux, Fila Brasileiro, Great Dane, Perro de Presa Canario,Dogo Argentino, and/or the Tosa Inu.
American Bandogge Mastiff Pictures and Photos