Maltese. A small, sweet honey of a dog, the Maltese is a popular breed that – wait for it – doesn't shed! Bichon Frise. Equally adorable and equally hypoallergenic, the Bichon Frise has a wooly coat that produces little dander. Schnauzer. Poodle. Yorkshire Terrier. Shih Tzu. Italian Greyhound. Labradoodle.