I have a dried up piece of Wrigley Field ivy, alond with some dirt fron the infield and the pitcher’ mound, in a lucite case.
Tough call as to which one of my possessions is the weirdest. I have a bat in a small jar of formaldehide. It was a gift from an ex-girlfriend (while we were dating, because she knew I like bats. Not as a revenge thing after the breakup.)
What Else:
A few styrofoam model heads. Had one with a 2 foot long neck, but gave it to a friend for an art project.
An over-the-head, green, felt mask of Cthulhu. I made it myself.
Sing Mit Von Wilden Westen-a record of old-fashioned cowboy songs. It's all in German.
Ice tongs that end in plastic teeth
Salt and Pepper Shakers-
That are top+bottom ceramic dental plates
King Kong+The Empire State Building
Frankenstein+Bride
A coffee table made from a broken pinball machine
The list just goes on
A life size cardboard cutout of Jeff Smith, the Frugal Gourmet. I’ve had it since college-my roommate and I argued and finally did “rock, paper, scissors” for who got to keep it. I won. 
The Kong/Frankensteins–these are S&P shakers?
Or something other?
I don’t really have anything to add here, but I just want to say that Schadenfreude’s Herbert Hoover action figure is the funniest thing I’ve heard in a while.
A plastic figurine of a character from a movie I’ve never seen called Hideous Mutant Freakz.
It’s a guy with blue pants, a yellow and black striped shirt, and what appears to be a green reptilian mass growing out of his head and going down his shoulder.
Yes, it was a gift. 
I have Freakboy too. But, I also have the figurine of Cowboy(A man in traditional cowboy clothes-chaps, boots, spurs, hat, etc. He has udders, cow fur, and the head of a cow.)
Clarification- That was meant as a list of S+P Shakers.
So the teeth, Kong, and Frankie are all shakers.
More Weird Stuff-
Model of the Alien from Alien3. That's not so strange but, I have it mounted on the ceiling behind some duct work. This means that you can't see it from my door or from the living room. Plenty of visitors have been in my place a few times before they look up in the kitchen or dining room and notice the model.
Glass Eye Belt Buckle-This is a medical quality glass eye mounted in the leatherwork of a belt buckle. I figure that either the owner had problems wearing the eye and made the buckle.
Self Portrait Bust-A man with brownish/gray skin, his skull has no top. His head is hollow except for a 12 inch (ceramic)flame. I put bills that need paying in his head, so they don't get lost.A varmint turd.
A few years ago, I was hiking in the woods with my SO of the time. We came across this dried-up piece of poop (about the size of a marshmallow squished into an oval shape) that is probably from a raccoon or possum. It’s purple and has blackberry seeds in it along with shiny green fragments of a Japanese beetle or some such bug. It struck us as quite beautiful and we took it home. She coated it with clear acrylic and planned to make a necklace of it. Later, we broke up and I inherited it. I still have it somewhere in a plastic film canister. When I run across it, I always get waves of sentimentality.
An automatic razorblade stropper. It’s for single-edged blades from the old early safety razors, and consists of a flat turntable upon which is affixed a leather disk. There’s an armature with a clamp that holds the blade. When you turn a crank, it spins the disk and the armature holds the blade’s edge against the leather. Due to some internal mechanism, after a few spins, the armature will turn the blade over to hone the other side. I found in my grandfather’s attic, still in the original box with the instructions and an order form for replacement parts. Things got to be 75 years old, and it looks (and works) like new. I also found his Old Spice shaving mug, still with brush and an old dried up cake of shaving soap still in it. The shaving mug (washed, natch) now holds quarters for the bus.
A piece of driftwood that looks exactly like a small snake, coiled and ready to strike.
My husband’s wisdom tooth. I’d like to make it into a necklace, but my friends frown on the idea. I’ve also saved all of my kids’ baby teeth. Maybe I’ll include them in the necklace design.
My strangest and favorite possession is the tooth of an ICU patient I cared for a few years ago. She was dying from a variety of ailments, her husband had kept her locked in a closet for several years (literally!), and though she was barely 50 she appeared to be in her late 90’s. She kept biting the endotracheal tube, cutting off her air supply and making it impossible to suction her, so I propped her mouth open with a bite block so the RT could suction her. Then, chomp! she bit down on the bite block so hard that one of her decayed incisors popped out onto her chest.
The RT was so amused by my horrified reaction (teeth are the one thing that freak me out- not blood or guts, vomit or poop) that the tooth began to show up in unexpected places, planted there by my sick and twisted coworkers. In my paperwork, in my pocket, in my mailbox. Finally, I took it home with me. I’ve developed a strange fondness for it.
Ah, ya beat me! I don’t think my pink plastic brain that used to hold gumballs but is now a piggybank could possibly compete.
Nor could my horrendous Jar Jar Binks watch, never ever worn, which is inside a plastic thing that looks like a flashlight.
I do have a few shriveled up aliens made out of something unidentifiable which grow to many times their original size when submerged in water, however.
I own a child’s coffin, made of unfinished pine with a flat top. Back in my college days, I used to use it as a low coffee table. Occassionally someone would say “that table looks like a coffin, man” to which I’d reply “Well, that’s because it is.”
My mother had purchased it at some country auction way back when. I can’t begin to fathom why – I think she wanted to actually turn it into a table. But I took it with me since she never used it for anything and it just sat in the basement.
Oh, and to the best of my knowledge, it’s a completely unused coffin.
That’d be America on Liquor I guess.
I have a replica Maltese Falcon. It sits next to the TV with a fedora and a fake pistol. My wife ordered it from the Mysterious Bookshop in NY.
A friend on seeing it for the first time was hefting it to feel its weight he said “What’s it made of?”
I of course replied, “The stuff that dreams are made of.”
A five inch long Alligator Head. I like to arrange it on the top of the entertainment center. Usually, it is seen attacking my wife’s antique dolls.
And thats bizzar why? I have some Yankee Staduim dirt somewhere in my missing baseball memoribilia collection.
A stuffed cane toad and the Qur’an.
DocCathode, leave the light on, I’m coming over for a bit.
Don’t worry, I won’t break anything.
A can of Go-Go Passion fruit beverage. A good friend of mine unexpectedly charged off down one aisle in a grocery store while I was talking about something or other with her husband. Then she suddenly charged back and thrust the can into my field of vision. I took it from her proferred hand and stared at it, jaw going a-gape, because the can art was something I’d more expect to run across on a portalofevil.com linked page than in a midwestern grocery store.
This particular brand of Go-Go drink features a tiny anime-art girlchild with grotesquely oversized eyes, orange hair, apparently only one arm (her right), knee-high boots, and a purple skintight dress, showing off her almost entirely non-curved body. Said dress is so short that it, combined with her stance, provides a panty-shot. The “Go-Go” label is in large cheerful letters across her legs; the o’s are, respectively, the male/“mars” and female/“venus” symbols. The upwardly diagnol arrow of the first male-symbol O is pointed at her crotch. Also, her expression can be interpreted as a kind of dazed blank lust. The newer version of Go-Go fruit beverages, I am informed, still feature the disturbing anime girls, but drawn in such a way that panty-shots are no longer featured; it was the last of the panty-shot-displaying cans in the tiny stock of them, and my friend was delighted that one was still there. She was pretty tickled to be able to stun me instead of vice versa, mainly.
I stared at this for a time, nodded, and added it to the cart. The beverage itself tasted like watered-down fruit punch with extra sugar, and the ginseng and yojimbe in it didn’t give me either any superpassion powers or make the can logo any less disturbingly amusing.
An unopened can of Fosters lager from the maiden voyage of the P&O cruise ship Oriana, the printing on the can is a special commemorative design.
An unused ticket from the madien voyage of the Titantic. My grandparents were supposed to be on it, but got there too late. My sister has the other one.