Misery loves company.
A gang of misfits whom no one likes and/or don't like themselves either get together or, more often, an elder, often a Zen Survivor, brings them together: he (or, more rarely, she) just hides it better. A circle of True Companions forms out of everyone's lives sucking so much they ended up stuck with each other. If they actually want to stick together because otherwise they would be alone, they are Lonely Together.
Very common in superhero teams who, while, fighting evil, tend not to have flashy headquarters or a get a lot of public support or respect. Also could be used for villains, when they're not qualified to be a Quirky Miniboss Squad. The villain version is usually led by a Straw Nihilist.
A concise way of saying it: most, if not all of the cast, in the group count as The Woobie (or at least have a lot of Wangst) in their own individual way, even if it may not seem so at first.
Named after the classic teen film The Breakfast Club.
Compare Ragtag Bunch of Misfits.
Villainous example: The Seven from YuYu Hakusho. They're all pretty troubled people...
The Sinners from Chrono Crusade. Disowned by their people, and dwindled down to frighteningly small numbers, this group of demons formed together around Aion to carry out his plans, while becoming an odd sort of family.
The Kyoto Animation adaptation of Kanon, thanks to its refusal to just toss the haremettes after their story arcs were over, seems to have the harem grow into something like this in the end.
The Culture Club from Kokoro Connect is a group of five students who, for various reasons, didn't fit in with Yamahoshi Academy's available clubs. Taichi, Aoki, and Yui wanted to join clubs that didn't exist, Inaba left the Computer Club because she didn't like the president, and Iori let her homeroom teacher choose for her.
The Sun Also Rises is about a Breakfast Club of American expatriates living in France in The Roaring Twenties. The group consists of a World War One veteran (who is impotent due to an injury sustained during the war), a jaded Christmas Cakeparty girl, and a shy guy who just wants everyone to get along. Each dealing with their own problems and drama. The book is a deconstruction of the trope.
The book Clean even lampshades this, with Chris saying, "We're kind of like a fucked-up version of that movie The Breakfast Club."
Animorphs. The group is a Ragtag Bunch of Misfits that all met by chance by virtue of being friends of friends with everyone, who decide to take the wrong shortcut one night. Jake, their fearless leader, is probably the only actually normal one of the group, and his brother is trapped inside his own mind by a parasitic alien. Marco lives with a depressive single father who never got over his wife dying, although she's actually not dead and the real truth is far, far worse - she's the leader of the alien invasion. Rachel is a shopaholic who's also an Action Girl in disguise to the point where Marco calls her Xena on a regular basis (and can become quite Ax-Crazy and sometimes, dangerously, dangerously sane if you threaten her friends...), while her best friend Cassie is a socially awkward African-American who is unpopular because she doesn't care anything for fashion and works as a vet assistant on her family farm. Tobias is The Woobie of the series, whose parents are dead (well, sort of...it's seriouslycomplicated) and who suffers horrible treatment at the hands of his aunt and uncle. Did we mention that he's permanently trapped in the body of a hawk? Because being an animal was so much better than living at home that he didn't care if it happened? It most likely was deliberate. And his father's the alien that gave them the Imported Alien Phlebotinum Certainly fits the Dysfunction Junction element quite nicely. And their hideout, if it could be called one, is Cassie's barn. At least, until they tell everyone about the alien threat. And Ax, the alien, is the "student living in his amazing brother's shadow" who (from what he missed in school) was a total slacker. And also Tobias' uncle on his father's side.
The victors in The Hunger Games lean towards this. At least, the ones who aren't trying to kill each other. Katniss, Peeta, Finnick and sort of Johanna, for the most part, and also Wiress and Beetee at first and Annie later.
They're implied to have been more like this before the twist of the Quarter Quell (i.e., that they'd be competing to kill each other now) was announced. Katniss notes they (both competing victors and the victors mentoring them) are much more social than the usual pack of brand-new scared kids are every year. Haymitch in particular is seriously bothered by the whole thing, at one point telling Katniss and Peeta that he didn't want to be responsible for them getting his friends killed off.
Billy Joel's "Piano Man". The bar is full of lonely, sad people drowning their sorrows "sharing a drink they call Loneliness, but it's better than drinking alone".
Deconstructed on 3rd Rock from the Sun. Harry goes to night classes to get his GED. He takes advice from Tommy on how to act like the Big Man on Campus, but eventually comes to realize everyone there is from disparate age groups and backgrounds and that trying to act cool is completely pointless. Eventually, he finds a study group like this.
The four mains of Gossip Girl, Nate, Chuck, Blair and Serena, call themselves the Non-Judging Breakfast Club. The foursome grew close as kids when none of them had reliable parents and it's been mentioned that they more or less raised each other.
The Inbetweeners: The four friends at times seem like they have little reason to be friends due to their contrasting personalities. At the same time, their misfit status in school means that they're the only people who can stand each other.
Chickens: Cecil, George, and Bert. The only similarity they have is that they're the only men left in their after WWI has started. As a result, they end up being forced to bond.
The companions of Dragon Age II could be called the Breakfast Club of RPGs without being much of a stretch. Suffice it to say they all have massive issues, shaky self-worth, questionable social skills at best, and no-one looking out for them but each other. The glue holding this motley crew together is a Fight Magnet refugee who can be anything from diplomat to Sad Clown to highwayman. They stay together for six years (although a lot of that's covered by time-jumps), and meet up for drinks and card games when they're not out killing people. Unlike the average Ragtag Bunch of Misfits, there's no overriding mission that keeps them all together - they all have their personal ambitions, and stick together out of choice.
Hell, anyBioWare game is going to end up with a crew like this.
Shepard's crew includes a thousand year old mercenary, an archaeologist, a Cowboy Cop, a Wrench Wench, a gruff soldier with a spiritual side and a gentle soldier who went through a special kind of Training from Hell... and that's just the first game.
The Spirit Monk ends up with a childhood friend and long-lost princess, a former Lotus Assassin, a thief, a Creepy Child possessed by two demons, a Rebellious Princess, a former arena fighter who's willing to do anything to avoid his wife, a nutcase mercenary, and at least two minor deities.
The Ebon Hawk? Star Padawan of the Jedi Order, Properly Paranoid (and possibly Force Sensitive) Republic soldier, a Mandalorian mercenary fallen on hard times, Twi'lek street kid and her big Wookiee BFF, Cathar Jedi with anger management issues, Cranky ex-Jedi who was slumming it in the Kashyyyk shadowlands, troublemaking astromech droid, gleefully homicidal assassin droid with a long string of dead masters...Oh, and you - the mind-wiped, ex-Sith Lord.
Of all the protagonist ensembles in the series, the cast of Persona 3 fits this trope best.
Outcast Corner takes this Up to Eleven: It's as though the only reason they haven't demolished the school yet is because they have each other. Everyone on the team is either a rager, a devisor, insane or all of the above, and even Diamondback and Jericho, the most sane of the bunch, have some major issues.