Question: dog breed that does not shed?
Answer: Tibetan Terrier. Tibetan terriers are proof that hypoallergenic doesn't mean no hair. ... 
Maltese Terrier. ... 
Shih Tzu. ... 
Brussels Griffon. ... 
Portugese Water Dog. ... 
Soft-Coated Wheaten Terrier. ... 
Poodle (Toy, Miniature, and Standard) ... 
West Highland White Terrier.