A disease that can be transmitted (or shared) between animals and humans is called a zoonosis (zoh-ah-NOH-sis) or referred to as being zoonotic (zoo-ah-NAH-tic).
The Center for Food Security and Public Health offers excellent resources on zoonoses (zoh-ah-NOH-seez) that affect livestock (http://www.cfsph.iastate.edu/Infection_Control/zoonotic-disease-information-for-producers.php). The Centers for Disease Control (http://www.cdc.gov) has excellent fact sheets on zoonoses (zoh-ah-NOH-seez). Search by disease.
Here is a list of some diseases transmissible between animals and humans:
Anthrax
Avian influenza (bird flu)
Bartonellosis (cat scratch disease)
Baylisascaris procyonis (raccoon roundworm)
Bovine tuberculosis
Brucellosis (Bang’s disease or undulant fever)
*Bubonic plague
Campylobacter
Contagious ecthyma (orf or sore mouth)
Cowpox
Cryptosporidial enteritis
Dermatophytosis (ringworm)
Echinococcosis (hydatid disease)
*Ehrlichiosis (one of several tickborne diseases)
*Encephalitis (EEE, WEE, VEE)
Enterohemorrhagic Escherichia coli infection
Giardiasis
Hanta virus
Larva migrans (aberrant larval worm migration)
Leprosy
Leptospirosis
Listeriosis (circling disease in ruminants)
*Lyme disease
Mange (parasitic mites)
Monkeypox
Psittacosis (parrot fever, ornithosis)
Q fever
Rabies
Salmonellosis (typhoid fever or typhoid and non-typhoid)
Toxoplasmosis
Trichinosis
*Tularemia (rabbit fever, deer fly fever)
*Typhus (a rickettsial disease carried by fleas and lice)
*West Nile virus
*The diseases marked with an asterisk are transmitted through vectors, such as mosquitoes, fleas, or ticks.