I get all this too!
Dreams starting before I am properly asleep, especially if I am falling asleep on the train or similar.
Dreaming about the content of a tv or radio show if I fall asleep listening to it.
Lucid dreams. Dreams that I go straight back to even if I wake.
I would be interested to have my brain activity monitored whilst I am sleeping as I am never aware of not having been dreaming when I wake, even if I am woken suddenly from a deep sleep. I usually remember my dreams very clearly when I wake- probably not a whole 7 hrs worth but certainly enough for a couple of hours. I remember them for ages as well- some I remember clearly years later.
I also get this weird déjà vu type thing where a sight or sound I hear whilst awake triggers a flashback to a memory of a dream I have had.
I also have dreamscapes that I return to time and time again. It's not the same dream as different things always happen, but it is the same landscape. I once was berated by a shopkeeper who apparently owns a shop in my dreamscape, for not having visited more frequently! It was nothing to do with the scenario of the dream.
DH never ever remembers his dreams, although he says he is conscious of having dreamt. He listens to my explanations of my dreams with bemusement.