Brussels Griffon haircuts are done differently depending on the type of coat. Trimming can affect the wiry coat's color and style, whereas hand-stripping is good for both types. Only the wire-haired varieties have that Brussels Griffon beard, however. The smooth-coated variety looks like a Pug. While you can shave a rough-coated Griffon to make them look like a Pug, you can't really make a smooth-coated one grow a beard. The basic Brussels Griffon cuts are the Pug, the Schnauzer, and the Ewok.
The Pug is the easiest cut, much like a Puppy Cut. While the smooth-haired types are best for this style, some people might shave their rough-coated Brussels to look like this too. It's a close shave all over, and there may be embellishments like not clipping the little bit of "beard" or other facial hair.
The Schnauzer is best with the rough-coated Griffons and is also best cut for the least maintenance. With this, the face and body are trimmed and the beard is squared but long, which makes it stand out.
The Ewok is easily the most distinct of the Brussels Griffon grooming styles. This one is best with the rough-coated dogs because of the beard that naturally grows out. With this, the eyes are at the center of the facial hair that seems to fly outward and hide the ears. The beard and muzzle hair around the nose is somewhat long but rounded with the rest of the face.