I go through phases of having them then not.
Some of my stranger ones: I was Hermione Granger, and Professor McGonagall was leading me past a white picket fence like the errant schoolgirl I was to where I was needing to tell Professor Snape that he and I were expecting a child.
I've had a few with my middle school crush (ick) where it seems he and I are the only people who can move. One from my old music theory professor where I was trying to apologise to him for something, one where he was wandering up to the wall I was building in the middle of a zombie apocalypse. I know there's been at least one more, but I can't remember it now.
Had one when I was a kid where I was being chased by Jaws. Well, two really, but the second the most I remember was that we were driving boats on the roads and he could follow me up my driveway, then morphed into some sort of humanoid creature that I knew was my father while I was hiding behind boxes in the garage. The first he was able to swim through carpeted floor, but not tile, and concrete but not grass. I had jumped in the back of a truck on the driveway, and was yelling at my dog to get on the grass because she was standing around sniffing at the driveway.
Being chased is a big recurring theme in my dreams. Well, nightmares I suppose. One I was at the theatre I used to work at. This creepy guy who would like stare through you was there, and somehow I got the boss to allow me to leave the front because I was afraid of him. This. . . not quite intelligent person who worked with us who I couldn't stand was downstairs as I ran up to get away from him, and for whatever reason gave the guy authorisation to be upstairs in the projection room which was obviously employees only. Again I was hiding behind/between boxes and completely wedged in while trying to avoid detection. . .