Yes, this happens to me.
It started when I was younger and seems to be happening with less frequency as I get older. I think the last time was several months or perhaps more than a year ago.
The first time it happened was absolutely terrifying. I felt that there were entities in the room with me, and I was overwhelmed with fear and the need to get out immediately.
I could not move my head to look to the foot of the bed, but I could feel and hear movement and thought I heard faint whispering or speaking that I could not make out. I thought that I saw shadows moving across the walls, but I could not attempt to focus on them or move around to follow them, I thought the entities were moving around the room, observing me, perhaps they were about to kill me.
I do not remember feeling the oppressive weight on my chest that others describe, I simply remember being completely paralyzed. I thought that perhaps my body was dead.
I don't recall imagining what I felt was in the room to be aliens or demons, etc. I don't know what I thought they were; my brain didn't make up a solution. I just knew I was afraid.
I can't say that my memory of that first occurance is so vivid, but I've had several other experiences that were similar to that first one, or slight variations. My memories of them are somewhat cumulative I would say.
I ended up researching what was happening to me (the physical aspects) and everything else about it started to make sense too. Once I had a solid understanding of what was happening the potential for these situations to be so terrifying diminished greatly. I knew that none of my senses were working reliably and I couldn't let the potential anxiety of the situation allow them to be steered. I can think of several instances now where I've just closed my eyes and relaxed and literally in a matter of seconds I felt totally normal and fully awake.
I have no doubt that this type of experience explains a great deal about many alien abduction cases, and variations on that theme that have been reported throughout history.
In fact, I feel somewhat lucky to have experienced it myself. It's really pretty fascinating.