Too Many Babies

A woman has babies. That is, she gave birth to multiple babies at the same time, and now she, with help from her husband, has to figure out how the heck to deal with this many kids at once. Hilarity Ensues.

Often the defining feature of works that it appears in for the simple reason of plausibility. Babies are a lot of work, and anyone who has this many is pretty much going to have to center a great deal of her life around them. While one would think that this would make the parents a little high-strung and frustrated with their baby-centered lives, quite often Babies Make Everything Better anyway, despite the extremity of the situation. When used as a brief gag, it's usually tongue-in-cheek.

This trope came to prominence because of the relatively high chance of multiple births in the early days of in vitro technology. This was due to the procedure (no longer practiced by most above-board facilities) of implanting multiple embryos under the assumption that only one would actually take. While this is the extreme version of the trope, more down-to-earth works of fiction can still play this up with twins.

Examples of Too Many Babies include:

Anime and Manga

This is the basic premise of Go! Go! Itsutsugo Land, a series about a set of 5 year-old quintuplets and the various misadventures of their daily lives.

Comic Books

Mother of Champions from The DCU's "Great Ten" superhero team is a particularly bizarre (albeit non-comedic) variation. Ironically, she was barren before she developed her powers.

Fan Works

One of Daria Big Name Fan Roger E. "The Angst Guy" Moore's works, Quinnts, splits the title character's sister, Quinn, into a set of, appropriately enough, quints, who each embody an aspect of the canon Quinn's personality (bossy, hedonistic, rambunctious, psuedo-intellectual and attention-seeking, respectively). Predictably, their version of Daria is a complete emotional wreck.

Film

Raising Arizona has this as a set-up: Herbert's poorly thought-out plan to have a child with his wife involves kidnapping one of the Arizona Quints, reasoning that the parents wouldn't mind losing just one.
Quints, a Disney Channel Original movie about a teenage girl who gets five younger siblings and has to take care of them.
Half a Dozen Babies, about a couple that have sextuplets.
The titular miracle in The Miracle of Morgans Creek (1944) involves Betty Hutton giving birth to sextuplets.

Literature

Dorrie's Book by Marilyn Sachs is about a child whose mother's second pregnancy unexpectedly results in triplets.

Live-Action TV

A whole spate of Reality TV shows involved finding Truth in Television examples of this trope and filming it, the most well-known example probably being Jon and Kate Plus Eight. Shows in this vein seem to be waning in popularity thanks to Octomom (who actually has fourteen children), whose irresponsible invocation of this trope has caused the viewing public to strongly question the morality and motives of anyone who would decide to have this many children, let alone try to get a Reality TV show for it.
Quintuplets starred Andy Richter as the father of a set of teenage quints.
Several episodes during Season 2 of Grey's Anatomy are centred around a mom who chose to keep all 5 of her babies, even though the doctors had recommended she have 1 or 2 of the fetuses terminated.

Western Animation

In The Simpsons, Apu and Manjula get octuplets after she starts taking fertility treatments to increase the chance of pregnancy. We later find out that this wasn't the fault of the doctor they saw — several people had been slipping Manjula fertility drugs without her knowledge.
- This also applies to Cletus and Brandine Spuckler, who have far more children, even before season 8.
In the series finale of Chowder, Chowder and Panini are married and have 50 babies, including 20 in one day. They are sort of like rabbits, after all...
This is Shrek's nightmare in his third movie.
The original Oswald the Lucky Rabbit pilot, "Poor Papa", has this, where a stork delivers way too many babies to him and his wife.
- The same plot is reused in the Mickey Mouse short "Mickey's Nightmare", which as the title suggests, is All Just a Dream.
  - Ditto "Porky's Romance", which was a parody of the aforementioned "Mickey's Nightmare".
In one Bad Future episode of Captain Planet, Linka is shown living in a deeply impoverished town with over half a dozen kids...all fathered by Wheeler.
Bloo tells a phony story in Foster's Home for Imaginary Friends to their next door neighbour about how he and Frankie are not only married, but have 64 children as well. Frankie is not particularly happy about this lie, and to make matters worse, Bloo asks her "What were their names again?"...

Real Life

The Ur Example is probably the case of the Dionne quintuplets, born in Canada in 1934. A tragic case, they were removed from their parents' custody and exploited as a government-operated tourist attraction.
For a darker deconstruction of this, many cultures view the birth of twins as a bad omen, which may lead to them being killed shortly after birth.
Then there's Nadya Suleman, the "Octomom," so called because of a dead-straight example of the "in vitro Gone Horribly Right" version resulting in the second set of surviving octuplets in US history (and first set where all members survived longer than a week.) Normally that many are not implanted, but she has said that the alternative was that the unused embryos would be destroyed. This adds to the six kids she had already, those not at once.
However, she's not within a light-year of the record, set in the 1700s: Feodor Vassilyev's wife and the 69 children she had over her lifetime laugh at the Sulemans' measly 14. If each of the 67 who survived infancy had two kids each (that's on the far low end for that era), Feodor likely has 70,000 descendants by this point.
While 19 Kids and Counting isn't exactly this trope (she obviously didn't have all 19 kids at once), she does have 2 sets of twins.