The Top 10 Healthiest Dog Breeds That Don’t Shed Most people wish to possess a dog, but typically the thought of getting dog hair all over clothes and furnishings can be too much. On top of that some people want to own dogs, but have dog allergies and having a dog that sheds can make that a huge problem. Luckily, it just so happens that there are a few types of dogs that our hypoallergenic , don’t shed, and are very healthy as pets! Below you’ll see the top 10 healthiest dog breeds that don’t shed. See these Corgi Colors 1. Maltese Maltese are known to be very easy going and playful. They’re social with humans and other dogs. They’re a very healthy breed and they range from 7 – 12 lbs. Maltese can also be very easy to train. 2. Labradoodle Labradoodle’s are very smart and popular breeds. Families love Labradoodle’s because they’re a low maintenance dog. Clearly, from the name, you can tell that they’re a cross between a Labrador and a Poodle.