According to their website, Alaska Air Cargo has restricted future bookings of snub-nosed dogs and cats while they conduct a safety review of possible acceptance policies.
Cats: Burmese, Exotic, Himalayan, Persian
Dogs: American Pit Bull, American Staffordshire, Boston Terrier, Brussels Griffin, Bull Mastiff, Bull Terrier, Chow Chow, Dutch Pug, English Bulldog, English Toy Spaniel, French Bulldog, Japanese Boxer, Japanese Spaniel, Pekinese Pug, Shih Tzu, Staffordshire Bull Terrier, Terrier, Bulldog, Pug, Boxer
Note that this airline also has a few holiday flight restrictions for pet cargo travel (as will many cargo operations, so double check everything before you plan a flight near Thanksgiving, Christmas or New Year's). Different rules apply to pets traveling in the cabin -- go here to find out more.
Read all about Alaska Air Cargo pet travel polices here, and feel free to contact PetRelocation with your pet travel questions.
Safe travels, everyone!