When you have a dream are you "yourself" in the dream?

(For those of you that remember your dreams.)
When you are dreaming, do you look/feel/sound like yourself? Do other people look like who they are interpreted to be in your dream?

I am never myself in my dreams, I look completely different, nothing about me is the same. Last night I had a dream in which I actually looked a lot like myself, just much uglier. It made me realize how very rare it is for that to happen for me.
However, other people usually look pretty close to who they are supposed to be in the dream.
Anyone else? Is this common?