Synonyms for Shaggy (same or very similar meaning)
WordNet sense 1 (used of hair; thick and poorly groomed):
bushy, shaggy-coated, shaggy-haired
WordNet sense 2 (not neat and smart in appearance):
ungroomed
WordNet sense 3 (having a very rough nap or covered with hanging shags):
shagged
WordNet sense 4 (having or caused by an irregular surface):
rough, unsmooth
From the ODE community, based on WordNet
add/edit