There are several costumes in Star Wars that require fur, faux fur specifically; the most notable are the Ewoks. Less noticeable is Queen Amidala’s Red Invasion gown from [The Phantom Menace], as well as the cape that goes with Amidala’s Senate Address gown from the same movie.
DIY: Video Tips and Techniques
The Padawan’s Guide (This link is resource to brake downs of the Star Wars costumes.)
Star Wars Fit For A Queen (This link is a resource for the costumes of Queen Amidala and her Handmaidens plus more.)
Rebel Legion (this link is a resource for all Rebel Alliance costuming and more.)
501st Legion: Vader’s First (This link is a resource for all Imperial costuming and more.)
The Dented Helmet (This is a resource for specifically costuming Boba Fett and other Star Wars costumes.)
Cap-That.Com (This is a resource for good high-quality images of Stat Wars media.)