God, the number of random items I own....
I guess the weirdest in retrospect would have to be the water-worn brick I use as a door stop... found it when the family and I were in Michigan one year, down by Lake Michigan *I know, dur*. It was just sitting there, so I picked it up and took it home.
There's also the keyboard case my dad gave me for a Guitar Hero controller that no longer exists; a crappy, scratched up copy of NiGHTs into Dreams a guy sold me over the netz (I got a better copy AND the 3D controller because he said it was in mint condition, and it wasn't) with a Target bag keeping it in place inside the case; a sub-woofer that doesn't work anymore, and keeps my Sega Saturn above the ground; a plastic cup in the shape of young Anakin's face in the pod racer attire; a rubber Jar Jar frisbee; a bronze-cast T. Rex my mom got when she donated a bunch of money to the Creation Museum in Kentucky; and finally, three scaled-down versions of posters I made for a class that I actually flunked, all of them pasted on foam-core board (wish I could share with you the pictures I made for it, but I believe I have lost them D: will try to get pictures of them though...)
That probably isn't everything weird, but its a few of them.