I don't think I have any specific phobias. There are things and situations that scare me or worry me, but never that much that I'd call it a phobia.
Sometimes, the fear of death grips me. Realizing that with any second I'm rushing closer to it. That there are solutions for almost all problems, but there is none that prevents you from vanishing. That there will be a last second in my life, a last hug, the last thing I taste, the last thing I see. And then: nothing. And, being a scientist and atheist, I know that there is no heaven, no hell, no reincarnation. There is just nothing. Forever. And that now death might seems like something that won't happen any time soon. But so did moving into my own flat, having a job, and so on. But there I am now. Time passed. And my life will pass. And death, that seems to be so far away, will then be "now". And everything in my life will be irrelevant in the moment of my death. Everything I accompllished, everything I feared, nothing will matter anymore.
That being said: I think it's a pity that so many people get raised in a way that makes them fear spiders. There is no reason to fear them, yet so many people do. Just some days ago, I wanted to take a shower, and then saw a pretty large spider trying to get away from the water. So I stopped the water, got a cup and a peace of paper, put the cup over the spider, slide the paper carefully beneath it so I wouldn't hurt the spider, opened the window and put the spider on the window sill. And I do that with all spiders I find. Or I just leave them where I find them, or put them onto some plants in my room.