Pieces of People

Living Apart is any bodily division.

Nose
Someone whose nose is detached but still moving and breathing.

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 * Happens in a Cinnamon Toast Crunch ad where some girl's nose pops off and runs towards the cereal.
 * The first few Puffs Tissue Stop Motion commercials has this happen where some kid's nose runs from the regular tissue.

Literature

 * Kovaliov's nose in Nikolai Gogol's "The Nose".

Live Action TV

 * Sesame Street: Ernie has upon occasion pulled Burt's nose off. Burt is usually annoyed by this, and talks like he has a cold until his nose is put back on, but is otherwise unharmed. Ernie's nose is also removable.

Western Animation

 * Happens in Fanboy and Chum Chum episode "Pick a Nose" where they even go as far as to switch noses.
 * The Grim Adventures of Billy and Mandy had an entire episode, "Wild Parts" revolving around a "nasal-mancer", or nose wizard, enchanting the noses of the city, including Billy's, into removing themselves from their owners' faces and forming a parade to the shopping mall where the nasal-mancer tries to find noses to replace the one he lost. Throughout the episode, Billy's nose is shown to have a personality of its own, slapping his owner with a steak for making an Incredibly Lame Pun after Billy decides to give half of his nose to the nasal-mancer after losing his real nose during a nose-balloon chase It Makes Sense in Context.

Eyes
Not to be confused for Eye Spy, this is where a character's eyes come off and they can still see although not attached for other reasons.

Western Animation

 * In the The Ren and Stimpy Show episode "Robin Hoek" it happens to Ren in his dream where his eyes run away from vicious monks (don't ask).
 * Happens in two SpongeBob SquarePants episodes: first in the episode "The Smoking Peanut" where Spongebob's eyes fall out in fear.
 * Happens again in the episode "Pranks a Lot", only this time it's a random fish instead of Spongebob and his eyeballs can run and drive away.

Mouth
A case where someone's mouth is detached but can still move and talk.

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 * In a Unlimited calling Virgin Mobile phone ad some girl talking on the phone moves her phone to the bench with her mouth detaching from her face and following the phone and still talking on it. The video is Here.

Western Animation

 * Happens to Spongebob in the episode "Slimy Dancing" where Squidward removes his mouth for talking back at him.
 * In Ed, Edd 'n' Eddy, at point in "One Plus One Equals Ed", Eddy pulls Sarah's mouth off because she wouldn't stop yelling. Her disembodied mouth then bites Eddy.

Tongue
The lesser variant of Mouth where the tongue detaches from the mouth but can still move despite not being attached.

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 * Happens in an ad for Doritos Chili Heatwave where some guy has those chips and his tongue is got so hot that he spits out his tongue into the water, then his girlfriend picks up his tongue which is seen shaking from the heat and then places it back into his mouth.

Teeth
This is a less noticeable but more common version of Mouth where every part of the mouth except lips is detached or just simply teeth and gums are detached. Does not count if the teeth are fake or cannot be reattached. Teeth can sometimes still move and/or talk.

Films

 * Beetlejuice has Adam's teeth with gums, tongue, uvula and the rest of the mouth anatomy excluding lips detached from him in the climax of the film and can still move and talk.

Western Animation

 * Happen in the Rocko's Modern Life episode "Yarn Benders" where the Old Lady Giant removes her teeth and instead of her toothless mouth talking her teeth (which are just Gums and Teeth) move and talk instead.
 * Another episode had Rocko's tooth turn into a mutant giant due to Filbert's attempts to be a dentist.
 * Futurama: Stopping at a diner in Florida while searching for his escaped gargoyle Pazuzu, Professor Farnsworth uses a remote control on his detachable teeth to help chew his food. Said teeth develops a taste for blood after biting Fry, culminating in it flying around the room biting people while Farnsworth slurps his slop through a straw obliviously.

Face
This is all the above combined where someone's face is removed from their body but the face can still, breathe, see, talk, feel and move despite not being attached to the head. While the face becomes like a living mask when not attached the bodies head becomes The Blank.

Films

 * In Son of the Mask Dr. Arthur Neuman has his face removed from his head by Loki.
 * Barbara from Beetlejuice removes her face to scare the living folk out of their house. This portion of the trope is played in a particularly gruesome manner.

Live Action TV

 * Sabrina the Teenage Witch has this.

Western Animnation

 * Happens to Spongebob in the episode "Squids on Strike" the second time Squidward pulls off his face by pulling him away from the window.
 * Ren and Stimpy: Ren's Face gets ripped off by a baboon and thrown into a tree in the episode "Travelogue" with his face reattached not long after.
 * CatDog has Cat lose his face in the episode that probably never happened called "Movin' On Up".

Ears
Someone gets their ear detached from their body but they can still hear and possibly move if they can wiggle their ears.

Live Action TV

 * The Amanda Show has this happen to the character played by Drake Bell in the Barber Shop sketch where his ear gets cut off and the barber shouts in his disembodied ear and then he runs away and his ear is then put in a trash can full of ears (...implying it has happened before).

Western Animation

 * Possible Subversion when Wilbur Cobb has his ear fall off in the episode "Stimpy's Cartoon" where it seems to be attached only by what appears to be bubblegum.

Upper Head
Someone who has the forehead, scalp and all the hair on it and occasionally ears detached from the rest of their head usually exposing their brain but can feel it.

Western Animation

 * In Fairly Oddparents Timmy Turner has this happen quite a few times.
 * Patrick loses this portion of his head as a plot point in the SpongeBob SquarePants episode "Patrick SmartPants".

Hands
When a hand is separated from the arms or the more minor fingers and/or thumbs are separated from palms of hand. Either way the hand(s) or hand part can still move and feel under the persons control but if the hands have a mind of their then it falls under Helping Hands.

Anime & Manga

 * Migi from Parasyte by Hitoshi Iwaaki partly qualifies, being a shapeshifting symbiote occupying and taking the form of Shinichi's hand. Beside the ability to morph itself into various weapons like its more parasitic kind, it is also able to separate from his host's body for a short time, as it did when it tried to hunt down a human who saw it's true form (before Shinichi convinced it to stop).

Web Original

 * This YouTube Video

Film

 * The 1999 movie Idle Hands had a teenager whose forced to cut off his right hand after it becomes possessed by an evil spirit and goes on a killing spree.
 * The second half of the 1997 dual horror anthology Quicksilver Highway had a man whose hands tried to foment a rebellion, based on Clive Barker's short story "The Body Politic".
 * The 1988 movie Waxwork had an exhibit filled with wax monsters and famous psychopaths come to life with the souls of 18 victims. After the heroes manage to escape exhibit with the wax effigies burned inside, they begin to walk home, not noticing that a hand from the Zombie display scuttling away from the rubble.
 * The Iron Giant: The titular Nigh Invulnerable giant is able to detach and reattach his mobile limbs, including his hand, which causes a bit of trouble around the house for Kid Hero Hogarth who tries to hide it from his mother.

Tabletop Games

 * Dungeons and Dragons had "Crawling Claws", which were severed hands of various creatures animated by necromancy. When not receiving orders, they overwhelm their foes in groups.

Western Animation

 * Spongebob in the episode "Artist Unknown" detaches his hand from his body because of Squidward upsetting him by insulting his art skills.

Arms
The ability to detach arms from torso with arms still being able to move and feel under the person's control.

Comics

 * Arm-Fall-Off-Boy is pretty self-explanatory.

Films

 * In The Last Starfighter an alien gets its arm which was holding the blaster cut off which not long after continues shooting through its severed arm.

Western Animation

 * Spongebob has his arm come off in many episodes but especially "MuscleBob BuffPants" and "Graveyard Shift".
 * Re Boot has Gigabyte who gets his arm cut off and then reattaches it moments later.
 * The Adventures of Jimmy Neutron has The Magician's disembodied floating arm in the episode "Vanishing Act".