I tend to dream a lot. I seem to lucid dream more commenly then most too.
As for how weird? Well...
I once had a dream where I could skate grind like in Jet Set Radio, and I was going around this big hill like 'zone' set up so you could 'grind' everywhere.
With me was Ron Stoppable and we were trying to defeat this evil soccerous and her robot minion (kind looked like that big robot thing from Robocop.) so we could save the Care Bears she had captured...
No I'm NOT just making that up. I can actually fish out the link to when I posted it to my LJ if I needed to. (It'd just take me a while)
I've found it very surpising how much my dreams have changed over the years. I never use to dream of being a girl, though I had wanted to at times. Then it happened really often, and now every now and then.
I also always wanted to dream about being Garath but never did.
Now I'm almost ALWAYS Garath in my dreams.
I remember once having this one dream with a Dragon half type girl who had short blond hair. Eliane (of LJ fame if anyone still remebers her) said there was something 'about' that girl but couldn't tell me what.
Ever since then that girl has randomly shown up in a few of my dreams.