Parodied in the 2004 Nik Naks advert where the eater of the Nik Naks (crisps) has a giant one explode out of his chest, as everybody around him is splattered with dusty cheese. After an awkward moment they all start dancing.
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HUMANOID Szayel Aporro Grantz does this in Bleach. He impregnates the victim with himself, being "reborn" fully grown upon death.
The Six Gates World franchise is fond of this. In Mon Colle Knights, Oroboros does this to its host, the Dread Dragon. In Majuutsukai No Shoujo, Kashe uses her own body as host for a demon, which ends up growing through her skin from all sides and eventually around her. After overcoming its mindrape from the inside, Kashe then chestbursts from it.
This is how Yuca Collabel resurrects himself after a two month gestation period. He probably wouldn't have fit out the normal way since he had already aged to the form of a prepubescent boy in utero.
Several of Berserk's nastier monsters are born this way, such as the Trolls of the Qlippoth and the demon soldiers of Emperor Ganishka.
Parodied in one of the omake for Blue Exorcist. Rin hides his tail under his shirt and uses it to mimic the chest burster scene around Shiemi, who passes out from shock. Yukio is not amused.
In one of the first issues of Spawn, the hellion comes up against a heavily armored cyborg. As Spawn notes, that armor is like a safe: meant to keep people out, not in. And now he has an array of reality altering powers at his command....
Spoofed in Spaceballs, when a spoiled sandwich in a greasy spoon diner resulted in a chestbursting alien that then grabbed a top hat and cane and made a further parody of Michigan Frog from Looney Tunes. Made even funnier by the fact that the guy it happened to was played by the same actor.
In Prometheus, the Deacon skips the Xenomorph's Chest Burster stage and rips its way out of the Engineer's chest already a humanoid.
And that thing came from a chestburster that very nearly killed Shaw had she not quickly gotten it removed- made all the worse by the fact that her crewmates actively refused to help her, and she had to resort to the use of a machine programmed for men which cut her open and removed it while she was still fully conscious.
And before that there's a strange, facehugger-like creature apparently coming from mutated worms. When confronted, this thing will latch onto its victim, and much like the facehugger, getting it off is easier said than done, since attempting to remove it only causes it to tighten its grip, and cutting it releases a highly corrosive acid. Then the creature in question actually works it's way into the victim's mouth and in the process causes them to suffocate to death while it does... something in their body- probably reproduce.
In the first book of The Dresden Files, Harry has to investigate a series of murders in which the victims' chest cavities exploded and their hearts flung out.
In addition, in one of his short stories he goes up against the grendel, a super-powerful beast from norse mythology that has to make itself fertile with mead and rape a virgin to reproduce. The offspring comes is said to rip its way out of the womb, killing the victim.
The eponymous Rawhead Rex from one of Clive Barker's short story anthology was mentioned as having a reproduction cycle that involved impregnating human women and having their young burst out of their bodies.
The way it's phrased, it's not clear if this is actually necessary for it to reproduce, or just something it does because it's misogynistic to the extreme and considers this a form of punishment and expression of power. Oh, and the rape dynamics in that description are definitely intentional.
One episode of The X-Files contained a parasitic fungus that made its victim burst open, spreading spores to surrounding people. All the scarier, since because this was an early episode, the concept exists in Real Life. Admittedly, it parasitizes ants, but...
The TV Show Fringe really enjoys this one, and in just one and a half seasons has featured monster larva, monster parasites, giant slug/monster viruses, and monster babies all bursting out of unwitting human hosts.
Stargate Universe had these in "Time," repeatedly popping out of the away team's bodies after burrowing in to eat their juicy insides. They got better.
Happened in CSI: Crime Scene Investigation, of all places. It was a rat that burst out of a drowned body's squishy chest (freaking out Grissom and Doc Robbins) and ran amok in the lab. Robbins initially thought it was the gas that normally builds up during decomposition, but it wasn't.
Similar to above, an escaped pet boa constrictor emerged from its owner's corpse on Bones, having curled up inside the mangled body's chest cavity because it was warm in there.
Angel: The episode "Lonely Hearts" had a parasitic demon that lept between victims, coming out of the chest of the old host, and burrowing into the back of the new one, after it had sex with the next victim.
Done at least once on Stargate SG-1 with a Go'auld which had to exit one host and transfer to another in order to survive. (Tanith, the seeming Double Agent turned triple agent.)
Invoked in Sanctuary. [[Spoiler: Abby]] is infected with an abnormal parasite that will soon take over her body entirely. Magnus concocts a risky solution: Implant another abnormal into Abby's body which will cause the parasite to stop trying to convert Abby and jump to the other abnormal. It then escapes Abby's body chest burster-style.
Good ol' Zeus has survived more than his fair share of this trope: first, when Athena sprang (fully formed and clad in armor) out of his head, and another time, when Dionysus was born out of his leg (though in this case Zeus had actually stitched him up in there beforehand).
Parodied in The Far Side, which shows a xenomorph family sitting down for dinner and one of the juveniles playing with the food — actually, in the food.
The alien scene is spoofed in Warhammer adventure Castle Drahenfels.
Warhammer 40000 had rules in earlier editions that allowed genestealers (think xenomorphs minus the acid blood) to implant eggs into models in close combat. A young genestealer could hatch from the model on later turns, presumably Alien's style. There's also a Tyranid Hero Unit, called the Parasite of Mortex. It allows you to replace an enemy model with a ripper swarm.
In Dungeons & Dragons, one breed of Slaadi reproduces in this way (the adults have eggsacks in their finger and can implant an egg through a successful claw attack. The new slaad then grows inside the victim).
Carrion crawlers also lay their eggs inside other creatures, though they kill the creatures immediately prior to doing so. Typically, they paralyze their victims a couple days before laying eggs, and kill them right before the laying so the corpses will provide a reasonably fresh meal for their spawn.
In the Monster Manual II, there was also the Neogi, strange spider-like evil slavers whose method of reproduction involved laying eggs in aged demented Neogi called Great Old Masters. Said masters exist in constant rage and pain until they start spitting neogi spawn, which eat their way out of the thing's body.
The phaerimms from the Forgotten Realms setting reproduce like some wasps. They paralyze the target with a sting, then inject an egg.
One of Q-Bee's EX Special Attacks in the Darkstalkers series has her sting the enemy and encase them in a cocoon, whereupon she dies (she's a bee, after all) and another Q-Bee bursts out of the victim's back and continues the fight.
Parodied in Splatterhouse: Wanpaku Graffiti, the NES-only Super-Deformed sequel to Splatterhouse. At one point Rick encounters an unconscious girl on an operating table: suddenly, the girl's belly inflates and bursts, releasing lots and lots of little spiders. When Rick kills all of the spiders, the girl wakes up, being perfectly fine, and goes away!
In the first level of Splatterhouse 2 a boreworm enemy ejects itself from a zombie's chest in this fashion, effectually re-killing it.
Don't get kissed by the Xenomorph-lookalike in Space Quest II, or it will impregnate Roger with one of these, hatching out of him near the end of the game.
Chryssalids, in X-COM Enemy Unknown. First, they inject you with an egg, which zombifies you and makes you attack other humans. Once zombie you has been killed, or the Chryssalid inside you matures enough, your entire body splits open, revealing a Chryssalid. The only way to prevent this is to kill the zombies with fire.
Devil Survivor has the boss battle with Belzeboul and his maggot minions, who spawn eggs in your party members and their demons. It's implied that this trope is at work when an egg hatches, because not only does a squad of maggots spawn next to the victim, the victim takes massive damage.
In Fate/Stay Night Heaven's Feel route, True Assassin comes to being by "eating" Assassin from inside.
One of Guile's special attacks is to teleport his wand into the enemy's stomach and then cause it to fly out.
Zuul reproduction in Sword of the Stars can result in this. They are marsupials, and the mothers' milk is a potent narcotic. As long as the mother is alive and produces milk, her children are in dreamland inside her pouch. If she dies, or becomes unable to produce milk... She becomes their first meal. More commonly (and less fatally to the Zuul), the Zuul mother removes the children from the pouch and leaves them near a suitable source of meat.
The facehuggers in Alien Resurrection implant the player character with these, just like in the films, and you have only a short time to find an Auto Doc before they hatch.
Covetous ends this way, with the parasitic twin emerging from its brother's stomach, killing him.
Aylee from Sluggy Freelance. Not surprising, given the fact that she was introduced as a parody of the alien from Alien. And then later parodied in a... rather interesting way. Let's just say Bun-bun is quiteBad Ass.
In the crossover episode with The Mask Ace thinks an Alien is inside him, but it turns out Spike was in his clothes.
In the "Halloween Special" Ace does this with Spike and scares a high school principal.
In the first episode of Hi Hi Puffy AmiYumi after Ami & Yumi get to the moon to ditch their Number 1 fan,she ends up bursting out of the front of Yumi's shirt.
Parodied in the "Itchy & Scratchy" segment in The Simpsons episode "Deep Space Homer"
Parodied in Family Guy, a video about talking about gay people had scene where a gay man was syringed by a doctor he suddenly spouted acid blood, and a full grown Xenomorph burst out of him attacking the doctor.
Parodied twice in the "Summerween" episode of Gravity Falls. Firstly, Grunkle Stan tries to pull one of these in his attempt to scare some snarky Trick Or Treaters, but it turns out unsuccessful; the fact that he used a cute and cuddly pig might have something to do with that. Later on, Soos eats his way out of the Summerween Trickster and comes out in a similar fashion.
The Real Life scientific term for a creature (usually an insect species) that does this to other species is a parasitoid.
Several insects reproduce in this way, planting their eggs inside another insect.
Some species of wasps have a special larvae that acts as a Puppeteer Parasite, turning the empty husk of the caterpillar into a zombie-like Meat Puppet guardian. Like the Chrysalids from X Com.
If that qualifies.... Look up scabies. Mites burrowing into your skin and laying eggs which hatch to produce more mites that lay more eggs... also they periodically fall off and get all over everything, spreading them to everyone who dares to set foot anywhere you've been.
While not nearly as violent as some of the other examples, the Human Bot Fly certainly qualifies. As do a few other parasites that use human hosts.
There is a story about a man who became attached to his little bot fly. He decided to "carry it to term," so to speak, instead of having it removed. Then it started tearing its way slowly out and he said, "Get this thing outta me!"
Leaving the thing in is actually often the better option, as killing it is likely to cause the wound to be infected unless the entire maggot can be removed (while alive it secretes antibiotics that keep the wound clean).
An urban legend speaks of a woman who went vacationing in South America and came back with what appeared to be a boil on her cheek. When the boil was lanced, it was revealed that a spider had laid its eggs in her cheek, and hundreds of newly-hatched spiders crawl out of the wound and across her face. Thankfully, no species of spider lays eggs in people.
There is a type of fungus called Ophiocordyceps unilateralis, which possesses ants and controls them so it can make them crawl into a good spot to grow and reproduce in. After it forces the ant to go into a suitible spot it uses the sugars in the the ants body to live on and eventually leaves the ant as a husk. It will then grow out of the ant's body, ripping it open.
When a female Surinam toad lays eggs, the male fertilizes them and presses them into his mate's back. The eggs form pockets under the skin, and when they hatch, the tadpoles develop into mature frogs in these pockets. Eventually, the frogs burst from their mother's back. (WARNING: Not for the faint of heart.) Oddly enough, this is a completely benign example of the trope.