Nine times out of ten, I remember my dreams.
Like Treebob, I am able to control them thus aware that I'm dreaming and when I wake up, it's like I never really went to sleep 'cause I'm consciously aware of what I'm doing at all times. I just happen to act in some alternate universe.
I'd say my dreams are concrete though. Sometimes pretty mundane as nothing out of the ordinary happens. Other times, my dreams are an opportunity for growth as I can make decisions and act in a way that I never would've thought were possible IRL.
More often than not, I'm usually chased by cops though. I don't know why and they don't reappear as often anymore, but a few months back all I dreamed of was being chased by cops or other authority figures.
Didn't really bother me as it spurred my creativity and made me take bigger risks and believe that I could accomplish a hell of a lot more than usual. (Eg, I'm trapped nowhere to run, hey, let's jump out of this building even though I'm at the second floor)
In the past I have dreamed some more fantasy-like dreams though. Once I was flying (probably the coolest dream ever) and another time a friend of mine suddenly multiplied into thousand copies of himself. These dreams are quite rare though.