I fucking hate spiders, i can deal with small-medium ones now but the big ones i freeze up at. It doesn't help that i've been getting 2-3 spiders in my room every night for the past week. I've found the best way to deal with them is to use hairspray to stick 'em then use a boxing glove and punch the shit out of them.
I used to be scared of heights until i started going on roller-coasters, in fact a couple weeks back i did a parachute jump so it really doesn't bother me anymore
. That was my first time in a plane too, and my first time jumping out one.
Apart from spiders the only other fear i have is the sea, but that's partially because i don't know how to swim. I've had plenty of nightmares of me as a little kid walking along a harbor then tripping into the sea and stuff like that, or something pulling me under. I've heard that 95% of the sea is unexplored and that also scares me, you don't know what might be lurking under there 
I'm pretty claustrophobic but that's more just uncomfortableness, not an actual fear. I got trapped in a deflating bouncy castle as a little kid, and i've been traumatized from it ever since.