I've had more than a few "high school dreams" where I walk into a class that's already in session, I'm aware that it's deep into the school year yet, somehow, I've never been in the class before and am worried about how fallen behind I am in it.
And, of course, I've had plenty of the old "showing up someplace public naked" dreams, I've had dreams from a movie viewer's POV, i.e. it wasn't from my prespective, I've had dreams where I wasn't myself but someone else entirely including being a woman, Captain Picard, Counselor Troi and on a couple occasions an animal or animal/human mix.
I think if Leo and Ms. Page were to enter my dreams they'd freak out and kill themselves as quickly as possible, I'm pretty messed up in there.