Probably the only thing I'm affected by that can be considered a "phobia" (as opposed to my occasional vertigo, which is more a neural issue) is insects. More specifically, I cannot tolerate insects touching me. The most beautiful, ethereal butterfly in the world could land on my arm and I would probably smash it into a pulp trying to get it off of me.
If they're just doing their own thing, not causing me any problems, I'm perfectly fine with them. Except of course for the nastier, larger or dangerous ones (huge spiders, wasps, etc.). They need to be nowhere near me.