These dog breeds are good choices for allergy sufferers because they have a predictable, non-shedding coat which produces less dander. Afghan Hound Afghan Hounds are known for being aloof and. Aug 29, 2019 · AFFENPINSCHER Dog Breed information. The Affenpinscher is a small dog that has shaggy fur. They have a wiry-type coat, their face fur is always longer than the body’s fur. In size, they are smaller than a working terrier. They are a hardy breed of dog. They should have a reasonable but profound chest and a good square body.