Here is one of the many lists...
This list is specifically named in ordinances
American Pit Bull Terrier
American Staffordshire Terrier
Staffordshire Bull Terrier
Bull Terrier (Monticello, Centerville, Alburnett & Hiawatha Iowa)
(Grandview MO) (N Little Rock, AR) (KY & WA)
Akita (Ulyssas, KS)
Alaskan Malamutes (Fairfield, IA)
American Bull Dog (North Little Rock, AR) (Aurora CO.)(Akron OH)
Belgian Malanois (Fairfield, IA)
Boerboels (Fairfield, IA)
Cane Corso (Aurora CO)
Chow Chow (Travelers Rest, SC), (Newport, RI) (Lynnville, TN)
Doberman Pincher (Fairfield, IA) (Sisston, SD), (Westfield, IL),
(Travelers Rest, SC) (Lynnville, TN) (Buffalo Center, IA)
Dogo Argentino (Aurora CO)
English Mastiffs, (Yale, IA)
Fila Brasileiro (also known as the Fila, Brazilian Mastiff) (Aurora
CO)
German Shepard (Fairfield, IA) (Lynnville, TN)
Great Danes (Fairfield, IA)
Irish Wolf Hounds (Fairfield, IA)
Mastiffs (Fairfield, IA)
Malamutes (Fairfield, IA)
Presa Mallorquin (also known as the Ca De Bou) (Aurora, CO)
Presa Canario (Lanett, AL) (Aurora CO)
Rottweiler (North Little Rock AR) (Buffalo Grove, ILL) (Fairfield,
Conrad, Lake Mills & Lockridge IA) (Walkerton, IN) (Inman, KS) (Carl
Junction & Salisbury MO) (Binghamton, NY) (Velva, ND)(Pawtuckett, RI)
(Travelers Rest, SC)(Lynnville, TN)(Smithville, UT)(Neah Bay, WA)
(Buffalo Center, IA)
Scottish Deerhounds (Fairfield, IA)
Shar Pei's (Smithfield, UT)
Siberian Huskies (Fairfield, IA)
Tosa Inu (Aurora CO)
NOTE These are breeds that are typically over 100 lbs according to
UKC & AKC Standards. If your dog is over 100lbs in Fairfield, Iowa it
is considered a restricted breed.
It varies from city to city and the lists grow very, very, very quickly! Again, this is just one of the lists that are out there. If you are unable to find anything on the internet I would suggest you call animal services in Raleigh and see if they can tell you what breeds (if any) are restricted there. Good luck in your move!