1. Bichon Frise: This breed is known for its fluffy white coat, friendly demeanor, and intelligence. They are relatively easy to train and make excellent companion dogs.
2. Poodle (Toy or Miniature): Poodles come in various sizes, including Toy and Miniature, which fit the criteria of a small dog. They are highly intelligent, easy to train, and have a low-shedding coat that requires regular grooming.
3. Havanese: Havanese dogs possess a silky, non-shedding coat, along with a charming personality. They are playful, affectionate, and eager to please, making them great family pets.
4. Maltese: Maltese dogs have a long, silky coat that requires regular brushing but minimal shedding. They are intelligent, gentle, and excel in agility and trick training.
5. Shih Tzu: Shih Tzus have a long, luxurious coat that needs grooming but doesn't shed much. These dogs are known for their affectionate nature, loyalty, and easy trainability.
6. Boston Terrier: Boston Terriers have short, smooth coats and are known for their gentle, loving personalities. They are intelligent and easy to train, and they enjoy spending time with their family members.
7. French Bulldog: French Bulldogs are small and muscular with a short, easy-to-care-for coat. They are highly affectionate, playful, and make excellent companion dogs.
8. Brussels Griffon: Brussels Griffons have a unique, wiry coat that requires minimal grooming and sheds very little. They are intelligent, lively, and enjoy being the center of attention.
9. Soft-Coated Wheaten Terrier: Although terriers are generally known for shedding, the Soft-Coated Wheaten Terrier has a soft, silky coat that doesn't shed excessively. They are intelligent, active, and friendly, making them great family dogs.
10. Portuguese Water Dog (Small Size): Portuguese Water Dogs can be found in a small size variety, making them suitable for those seeking a compact, non-shedding dog. They are highly intelligent, love water activities, and are devoted to their families.
Remember, while these breeds are generally considered non-shedding, some level of shedding may still occur. Regular grooming and maintenance are essential for keeping their coats healthy and manageable.