- Pygmy Goats are a small compact breed of goat with their legs, head and neck being relatively short in relation to their body length. The body circumfrence in relation to height and weight is proportionatly greater than that of other goats. Pygmy Goats were first imported in the U.S. in 1959 from Sweden to California and New York. They are now raised as livestock, pets, 4-H Livestock Projects, ...members.tripod.com/~pygmydreams