Hmmm. I always have dreams where I am being chased. Vampires, zombies, terrorists, monsters, etc have all chased me at some point or another.
I used to have a recurring nightmare where the metal skeleton terminator was chasing me through my school gym. No matter how fast I ran or where I went, he was always like right behind me with his creepy lame walk he had at the end of the very first movie. And for some reason, I would always hide in the concession stand cabinet at least once and watch as he walked by.
I think the oddest dream that I ever had was when I dreamed that I was with a bunch of kids that I didn't know and we were playing at my family barn. Suddenly, the velociraptors from Jurrasic Park started showing up and chasing us. Somehow I got them to safety only to find that I had to go through the barn when the isle was full of raptors. So, I climbed up into the rafters and started making my way through the barn that way. I got about halfway through and looked down into one of the stalls and was confused as heck when I saw one of the raptors wearing a frilly apron and folding laundry