My research found that generally orchids are non-toxic to dogs, horses and cats. The ASPCA website has a lengthy list of plants and their safety at this website. I have directed you to the specific page for orchids. http://www.aspca.org/pet-care/animal-poison-control/toxic-and-non-toxic-plants/phalaenopsis-orchid.
Of course, individual animals may have a bad reaction to eating a particular plant. As far as birds go, I found a website specifically for parrots that says orchids are not toxic to that species of bird. http://www.plannedparrothood.com/plants.html
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