I have a fear of falling. Not heights! Falling. I can be in a plane, no problems since I can't fall out of it (excluding skydive planes, which I obviously won't be near!). I can't handle ladders well....scary! Though I do my best. I like my feet on solid ground! This one is especially annoying since I am a backpacker and narrow trails with steep terrain are common.
Moths! Don't know why, but they freak me out! I can handle bees, butterlies, etc, but moths...eww!
Spiders too! But, that's common.
I also agree with the few people that mentioned restraining! I can handle someone holding my torso, but if my legs and arms can't move, I am freaking out! Gosh forbid I get my blanket tangled around my legs at night!
Someone peeping in through the window at night. Luckily that gets fixed easily with locks and blinds/curtains!
A friend on mine has a fear of chickens...now that'd be the end of the world for me!