For adults: 1. Animal phobias, such as arachnophobia (of spiders), ophidiophobia (of snakes) and cynophobia (of dogs).    From Wordnik.com.  [The Seattle Times] Reference

Well then, of the 10 most common phobias arachnophobia, ophidiophobia, acrophobia, cynophobia, trypanophobia, pteromerhanophobia, and mysophobia shouldn't be counted as they're all pretty rational phobias.    From Wordnik.com.  [reddit.com: what's new online!] Reference

In each case, I leave it to the reader to supply the words "fear of." acarophobia mites, parasites entonophobia ticks aelurophobia cats galeophobia sharks apiophobia bees hippophobia horses arachnephobia spiders musophobia mice bacilliphobia bacilli myrmecophobia lice bacteriaphobia bacteria soleciphobia worms batrachophobia frogs, toads swinophobia swine cynophobia dogs taeniophobia tapeworms eisoptrophobia termites taurophobia bulls A much smaller cluster of fears is centered on the plant world.    From Wordnik.com.  [VERBATIM: The Language Quarterly Vol X No 1] Reference

From tiny, purse-size pups to buff German shepherds, any flavor of man’s best friend can scare the pants off some who suffer from cynophobia, or extreme fear of dogs.    From Wordnik.com.  [Top 10 Fears and Phobias That Really Scare People | Impact Lab] Reference