I used to just have a bajillion nes games. My friend has a Jaguar though, and for some reason the I have the power cord. I feel like I just can't get rid of it. haha. Another thing she has is 2 3DO's. I still have one Atari game. I think it's space invaders or something. My friend ran through my house when I was a kid, and tore the AC adapter out, and killed my Atari.
As far as something being weird that I own, I do have a bone necklace, but not a serial killer kind. I just have a house weird stuff, but nothing that would really classify as a collection.