There are many small dog breeds with short hair. Here are some typical examples:

Chihuahua: This is a very small dog with large eyes and short hair or Hairy coat.

Yorkshire Terrier (Yorkshire Terrier): Although the coat can be very long, some Yorkshire Terriers are trimmed short, making them look small and short-haired.

French Bulldog: This dog is compact, muscular, and has a smooth, short-haired coat.

Doberman Terrier (Dachshund): Also known as Dachshund, it is famous for its long body and short legs. The coat can be short or long.

Pug: The Pug is a small, round-faced dog with a smooth short-haired coat and a wrinkled face.