Answer: Balantidium coli trophozoites and cyst
This giant protozoan seems to inspire parasitologists everywhere by its size and unique features. As Tom said "It's like the over-sized mascot of the protozoan world. It is so big and fuzzy, it just makes you want to give it a hug." My predecessor, Dr. John Thompson, used to call it "the aircraft carrier of the fecal flotilla."
Perhaps the the folks at GIANTmicrobes WILL someday make a plush version. If you can get a plush bedbug to snuggle with, surely you could get a big furry protozoan? Until then, you will have to make do with the following image: