I'm not claustrophobic, nor acrophobic, but I am arachnophobic and ophidiophobic (the former is fear of spiders and the latter fear of snakes).
It's not just being in live contact with them or the possibility of live contact, but also watching eg. documentaries on tv about snakes or spiders makes me very uneasy. And I've been like this since I was born/remember, nothing special has triggered them.
Then again I don't have the motivation to try and get rid of these phobias since it's not that often I encounter this problem.
My dear mother is badly claustrophobic, all small and closed spaces are a no go. For some reason I am not. I also like heights, call me crazy.
Edit/addition: Now that I think about it, I do have some fear of my tinnitus getting worse. Thus I can appear as overly cautious when an unpredictable loud noise comes from somewhere and I quickly try and plug my ears. But I don't mind, I like to make sure and protect my ears.