Best Dogs For Allergies Dogs that do not shed, are called hypoallergenic dogs. A few breeds are actually hypoallergenic, here are my top 5. The Poodle- A poodle is one of the most famous dogs for being part of a mix of most dogs. It is intelligent, alert, active, trainable, and more. The Miniature Schnauzer The miniature Schnauzer is the smallest in all three breeds of schnauzers, the standard schnauzer, and the giant schnauzer. The schnauzer comes in grey, white, and black. Schnauzers have long noses, hence their name Schnauzer from the word schnoz. Shih Tzu- The Shih Tzu breed is over 1,000 years old, it is clever, affectionate, friendly, intelligent, and more. They live around 10-16 years of age, and they weigh 8.8-16lbs for females and males. They originated in China. And they are known as "Little Lion Dog" Maltese- The Maltese are in the toy group. It is affectionate, easygoing, docile, fearless, responsive, playful, and more. They range from 6.6-8.8 for males and fema