A most excellent reference is this one from the USGS National Wildlife Health Center, “List of Species Affected by H5N1 (Avian Influenza): Referenced reports of highly pathogenic avian influenza H5N1 in wildlife and domestic animals”.
From the CDC Flu site here
Influenza A viruses are found in many different animals, including ducks, chickens, pigs, whales, horses, and seals. Influenza B viruses circulate widely only among humans.
Influenza A viruses are divided into subtypes based on two proteins on the surface of the virus: the hemagglutinin (H) and the neuraminidase (N). There are 15 different hemagglutinin subtypes and 9 different neuraminidase subtypes, all of which have been found among influenza A viruses in wild birds. Wild birds are the primary natural reservoir for all subtypes of influenza A viruses and are thought to be the source of influenza A viruses in all other animals. Most influenza viruses cause asymptomatic or mild infection in birds; however, the range of symptoms in birds varies greatly depending on the strain of virus. Infection with certain avian influenza A viruses (for example, some strains of H5 and H7 viruses) can cause widespread disease and death among some species of wild and especially domestic birds such as chickens and turkeys.
Avian influenza in other animal species, from the Food and Agriculture Organization
Hosts: Wildbird hosts for H5N1 in order of importance are probably Anatidae (ducks, geese, swans), Charadriiform (gulls and shorebirds) and Passeriform (sparrows and starling). Lately swans have been found infected with H5N1 in a number of European countries (e.g. Austria, Germany, France and Romania, etc.). In poultry, both aquatic and terrestrial species become infected but the virus is particularly aggressive in chicken.
Carnivores: can become infected, after consuming infected poultry that succumbed to the disease. To date no H5N1 clinical cases of dogs have been reported but in an unpublished study carried out in 2005 by the National Institute of Animal Health in Bangkok, researchers tested 629 village dogs and 111 cats in the Suphan Buri district of central Thailand. Out of these, 160 dogs and 8 cats had antibodies to H5N1, indicating that they were infected with the virus or had been infected in the past. An eqiune virus has recently shown up in dogs. This inter-species re-assortment is not uncommon for type A influenza viruses.
Pigs are known “„mixing vessels” for different influenza virus subtypes and therefore present a risk for avian influenza virus re-asserting with a human influenza virus into a strain more apt to infect humans. Regarding the present H5N1 subtype, studies conducted in pigs in Vietnam yielded 8 animals out of the 3000 investigated pigs seropositive. None of the animals had any clinical signs and it was not possible to isolate any virus
Ruminants appear at lower risk. So far no cattle have been identified as carrying any influenza type A virus. Horses are susceptible to Influenza viruses but so far mainly H3N8 have been identified. Regular vaccination is carried out. Experimentally mice can be infected but their role in natural transmission has not been established.