Currently we have cats: Joy, Mama Kitty, Spider (who is Mama Kitty's son) and Hide. One dog: Danny. One rabbit who doesn't really have a name, I call her Bunbuns, my DH calls her Rusty, I don't know.
One ferret: Meeko. The chickens don't have names. Three horses: Wrangler (short for Wrangler's Full Moon his registered name), Dusty and Houston.
Previous cats: May, September, January, August, Megan, Willow, Missy, Phaedra, Chloe, Kelly, Tabitha, Sherman, Inky (all gone to a better place).
Previous dogs: Chrissy, Peace, Heinz, Midnight, Kim.
Previous horse: Major aka Stoney's Major (My DH sadly had to send him over the Rainbow Bridge)
Numerous previous gerbils and hamsters most of the names I do not remember.