I've got some minor claustrophobia, I think. Nothing too serious -- it doesn't impact my daily life in any way -- but it's noticeable in some particular situations. Example: in biology this year, we did a lab which required me to bike while wearing a face mask. It didn't affect my breathing in any significant way, but I was (irrationally) afraid that it would, and I freaked out a bit and nearly got sick.
As for fears that are less clinical in nature... I don't know, I'm not really a fearful person. I guess I'm rather afraid of not being successful in or after college.