Basically, darkness associated with evil, ugliness, and scary monsters. This is the reason for the naming of The Dark Side and why Evil Counterpart characters and certain Underground Monkeys often have 'dark' in front of their names. Like all Colour-Coded for Your Convenience/Good Colors, Evil Colors examples, this is common, but not universal, and will vary from culture to culture.
The logic behind the trope is as follows: most humans fear the dark, because dangerous animals can see better in the dark than we can, and the dark can hide other dangers. Furthermore, the fact that it's so hard to see in darkness (well for humans, anyways) has caused some of us to associate darkness with deception. Evil is associated with deception as well, so, from Star Wars to cowboy movies, a lot of bad guys wear black hats. If you want to be even more obvious about it, give the bad guy a name that has something to do with darkness.
If a character has darkness-based powers, see Casting a Shadow.
Stories where Dark is Evil and Light is Not Good are commonplace to show that the light can be just as foul as darkness.
Why Evil Is Not Well Lit and having the sun vanish is a bad sign. See also Light is Good, Bad Powers, Bad People, and Obviously Evil.
Dark Is Not Evil is the subversion and the good counterpart of this trope. Another subversion is The Sacred Darkness, where Dark may or may not be evil, but is just as important as Light.
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Examples:
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Media in General
Black is the favorite color of the Card-Carrying Villain, as it is believed to be the color of death.
Vampires are seen commonly in black.
Witches and Necromancers as well.
While the Full Moon is a case of Light is Not Good, one has to remember that werewolves only pop up during the night, which is the only time that the full moon will be present.
Ditto with the Ruler of Darkness, Hayate's completely Evil Twin that was formed from the remnants of the Darkness of the Book of Darkness during the climax of the Battle of Aces video game.
Mai Otome: the main antagonists use dark-themed GEMs. Nina Wang has an Ultimate Black Diamond, which is said to be representative of her "extreme and mostly selfish" bonds with Sergay and Arika, which is the opposite of the selfless bond between Master and Otome exemplified by the original Pure White Diamond. Tomoe and the rest of the Valkyries use Cursed Obsidians of the Darkness, and Schwartz, named after the German word for black, is evil.
Onegai My Melody: the Big Bad is simply called "The Spirit of Dark Power", and anyone possessed by it will say the word "dark" as a Verbal Tic.
One Piece: both men who have Dark-related Devil's Fruit powers, Blackbeard (Darkness ala Black Hole) and Gecko Moria (Shadows) are, indeed, not pleasant people.
Pokémon: none of the main protagonists own Dark-type Pokemon. Finally subverted as Ash's egg hatches into a Scraggy (Dark/Fighting) in episode 17 of Best Wishes!.
On the other hand, it is made clear that Poison-type Pokemon (the most "evil" type before Dark was introduced) aren't evil, even if they're sometimes forced to serve evil masters.
Sailor Moon: The Dark Kingdom and the Black Moon Clan.
In the Strontium Dog "Max Bubba" story, Bubba's Vikings all wear black armor. The (somewhat) more good Vikings that side with Johnny have rather paler armor and weapons.
Among the various differently colored forces in Green Lantern, there are several who tend to favor evil methods, such the Sinestro Corps, the Red Lantern Corps, and Agent Orange. However, the worst by far is the Black Lantern Corps, an army of Zombie Mooks who can all regenerate From a Single Cell. Their ultimate goal is The End of the World as We Know It, with the "the world" in this case being every living thing in the entire universe. They are so evil that every other color, good and bad, teamed-up to stop them.
It's somewhat of a subversion: Word Of God has described the Black Lanterns as being Above Good and Evil. To them, they're simply fighting off the light, which they see as intruding in the universe (hey, no life, no wars, right!). It's more Darkness is Order, and Light is Chaos, really.
Marvel has Dormammu and Umar, rulers of the Dark Dimension. It's been implied that the Dark Dimension is something of a Fisher Kingdom, however, and millennia of Dormammu's rule has made it into the nasty place it is today.
Also from Star Wars, Darth Vader wears a dark costume in the original trilogy and Darth Sideous wears a cloak so his face is in shadow. Word Of God that Luke wears a light costume and it gets progressively darker as he goes from innocence to accepting the dark side as something that exists and overcoming it as opposed to avoiding or destroying it.
Nosferatu has a pale villain, but he wears a dark coat and needs darkness to survive. It's from this film that all modern legends of vampires and daylight not going together stem. In the original novel, Dracula was able to walk around in human form in the daylight.
In Erik the Viking, Halfdan the Black got his nickname from being evil.
Deconstructed sharply in Spike Lee's biopic of Malcolm X. In the prison library scene, Charles Dutton's character gives a monologue about the implicit association of darkness with evil and lightness with good in the English language, which has a profound effect on the man who would later name himself X.
Actually, a lot of bigotry has historically been "justified" (in the minds of the bigots, at least) by applying this trope to black people. No wonder it has Unfortunate Implications.
Surely, a group called the League of Shadows will do nothing but good deeds, right? Right...?
Some Disney Villains have this:
Pictured above is Chernabog. Appropriately enough, his name means "Black God".
Queen Grimhilde initially has only a black cape, then she wears a totally black cloack in her old hag status. One of her potion's ingredient is also the black of night.
In "How to Murder your Wife" Jack Lemmon's Italian bride stays up late watching American movies on TV and keeps asking "Which are the good guys, the white hats or the black hats?" I think that whatever she knows or doesn't know about America, that's one concept she would certainly have learned in Italy.
And before him was his own master, Morgoth (which means "The Dark Enemy of the World"). Some of Tolkien's unpublished writings imply that dark is associated with evil because Morgoth's ultimate goal is to tear down the world until it is reduced to the original primordial void.
Notably averted with Tolkien's Dark Elves, the Moriquendi. While "Dark Elf" has come to mean evil in nearly every subsequent High Fantasy, the Moriquendi are simply Elves that never went to Aman and never saw the light of the Two Trees of Valinor. They're just as good, if not better, than any other group of Elves and are even represented by one of the most popular Elves ever, Legolas.
In The Wheel of Time, the Big Bad is called the Dark One (there are also other names, but Dark One is the most common one) and the evil side, i.e. everyone and everything associated with the Dark One is referred to as Shadow. Human servants of the Shadow are called Darkfriends, one name for the creatures that command the universe's Orc-equivalents is Shadowmen, and...yeah, maybe you get the point by now.
According to the movie adaptations of Chronicles of Narnia, the Pevensie children are divided in two categories: Peter and Lucy, who are fair haired, are the good kids compared to Edmund and Susan, who are dark-haired and fall to the dark side at least once (Edmund betrays his siblings to the Big Bad and Susan falls into disgrace later, when she refuses to believe in Narnia anymore and is left outside Heaven - aka Narnia).
The Dark Faery court from Melissa Marr's Wicked Lovely series. Although, this is possibly a subversion - they are more cruel than evil and need to be to survive. They are essencially emotional parasites, but Irial truly loved Niall and Leslie (although he was very cruel to them, using Leslie as an emotional conduit and stripping her of emotion and free wiil, and allowing his servants and guards to both phsically and sexually abuse Niall), and although Gabriel comes into the 'abusing Niall' category, although only physical, he was NOT one of the fey who raped Niall, this is a common misunderstanding - and yet can be incredibly kind to his halfling children. Niall himself comes more under Dark Is Not Evil, although the injustices of the past push him more and more towards the moral grey area Iri and Gabe occupy.
Prevalent in Madeleine L'Engle books, starting with A Wrinkle in Time, where the Black Thing covers the world of Camazotz, and a similar one threatens to engulf the planet Earth. In later books, the Echthroi (repeatedly refered to as "the powers of darkness") also gain an association with a horrible sound and a disgusting smell.
The Old Kingdom is an example of both Dark is Evil and Dark Is Not Evil, as necromancers and the Sealed Evil in a Can that they represent are the main antagonists, but then again, the protagonists also use Free Magic (which tends to be pretty nasty) to fight it.
In The Rape of the Lock, Umbriel (whose name means "Shadowy") goes to the Underworld (the pit of Ill-Humor) to bring up a bag of temper tantrums to create even more chaos.
In Warrior Cats, when villains die, they go to a forest of pure darkness.
Also, most of the main villains have been dark brown tabby toms, for some reason. Even Thistleclaw, a gray and white cat, accidetally got described as dark brown a couple times. Once fans pointed this out, villains began to have different pelt colors: Sol and Mapleshade are torties, and Dark Forest cat Snowtuft is white.
Averted in Diana Henstell's NEW MORNING DRAGON, where the Devil insists on wearing white suits at all times.
Live-Action TV
Glee, obviously, makes use of this, although with an interesting variation; every single male character who is an asshole wears black. The onlyexceptions are the jock bullies, who wear typical jock attire, and the occasional Anti-Hero. The (usually) unambiguously heroic Kurt Hummel does wear dark purple, but he does so less and less, so the Dark Is Not Evil factor probably decreased.
On Buffy the Vampire Slayer, the outfits of many vamps take on this trope. Also, The Bringers, servants of the First Evil, all wear black robes.
On Lexx, His Divine Shadow might as well wear a placard around his (black-clad) neck announcing that he is an Evil Overlord. Between the title, the black robe, and the decor of his planet-sized Evil Tower of Ominousness, it's pretty obvious.
Lost: an extremely blatant example—Jacob wears white and the Man in Black/smoke monsterwears black.
In a TV movie on the making of the Vietnam Memorial in DC, people kept objecting to it because it's black and therefore bad and makes their sacrifice seem bad. A black army officer stands up, reminds him of his years of service and that if anyone makes another comment on how "black is bad" they are going to take it outside.
Religion
In Zoroastrianism, the demon Ahriman is often associated with darkness.
Inverted in the beliefs of the Zykhee from VOR The Maelstrom - being evolved from a nocturnal species, their culture believes that Dark Is Good and Light Is Evil.
Theatre
The Queen of the Night in Mozart's opera Magic Flute.
Toys
BIONICLE plays this straight but also subverts it: every character in the Matoran Universe has an inner balance of light and shadow. Those characters that tap into their dark side or are drained of their inner light, turn evil as a result, gaining shadow-based powers and becoming darker in their coloration. At the same time, thanks to Color-Coded Elements, some element-based good guys also sport dark colors, and a handful are almost completely black.
In the Japanese version of Pokémon Mystery Dungeon: Explorers of Time/Darkness/Sky, the first Big Bad is known as Darkness Dialga. The US version instead translated it as Primal Dialga. The Bad Future is also distinctly associated with darkness.
Darkrai. Freaking Darkrai. Did I mention he tells you to go kill yourself?
Also, "Dark", the English name of one of the 17 elements common to all Pokémon, was localized directly from "Evil", as the type is known in Japanese. This explains why many moves of the Dark-type involve doing immoral things like stealing or lying or having "bad thoughts". Though the type had relation to darkness even in the original games, such as Eevee evolving into Umbreon at night.
Subverted in that not all of them are evil. Mightyena (a hyena/wolf mix) is very loyal to a skilled trainer and Absol is just plain misunderstood.
While it can be Dark Is Not Evil in later games, the Dark Magic in Fire Emblem Jugdral and the people who use it, the Lopt Sect, is very evil, although in Thracia 776, you can recruit an ex-clergyman.
The Dark Elves are the evil guys in ZanZarah: The Hidden Portal, though there is an additional distinction between Darkness and Chaos and The Man Behind The Man is of the Light Is Not Good variety.
Opoona follows this quite heavily, to the point that most people can't even enter true darkness without serious damage to their mind and body. Justified in that it's actually The Corruption, created by the ultimate Big Bad of the setting, though not the game itself.
In the Jak and Daxter series, the titular character is an Anti-Hero with a Superpowered Evil Side, but that's the extent of any Dark Is Not Evil overtones. The world's magical Psycho Serum is black and purple DARK Eco, Precursors corrupted by it become DARK Makers, Metal Heads literally live off of it, and the first game's Big Bads turned into Omnicidal Maniacs after being exposed to it for too long. Oh, and out of the five people who underwent the Dark Warrior Program, only Jak got out alive...because he's special. Not to mention the fact that both Jak and Daxter's dark alter-egos are Ax Crazy.
Kingdom Hearts mostly plays this trope straight, in that The Heartless are the manifestations of the darkness in capured hearts. It's subverted when Riku reverses his Face Heel Turn, though: it ends up still causing him pain, but it also does a service in the fight for good.
The Fatal Frame series of games almost always involve some failed ritual releasing an evil, corrupting presence known simply as the "Malice" or the "Dark".
While Ragna from BlazBlue follows the opposite of this trope, the BlackBeast responsible for the Crapsack World and the source of Ragna's power embodies it. In Jubei's own words, it was "evil, the likes of which the world has never seen".
In the sequel it is revealed that Hazama/TerumiYuuki is this as well by virtue of his nice, black suit. Mu-12, who calls people by expository titles, refer to Hazama as "The True Evil", indicating that he is even worse than the Black Beast itself. (Those who have played the story up until that point probably gloss over this as a Late Arrival Spoiler, though, because they've already seen whatHazamaiscapableoffirsthand.)
In Minecraft, enemies spawn in any dark areas (whereas non-enemy animals spawn on grass in the light).
In Warriors of Might and Magic, you can't learn Dark spells, and the few swords imbued with the dark element aren't really strong. Furthermore, Skeletons, Ghouls, Undeads, Wraiths, and Demons have the Dark Element with them.
The RPG series notes that Dark magic isn't evil as such - it is how you use it that is important - but it includes spells whose casting can be called evil no matter the circumstances (sacrificing a hireling for a temporary advantage!) and is associated with the Path of Dark, a religion/philosophy that nigh-universally seems to attract cruel people that want to do bad deeds.
The first Fable has this in spades, with dark clothing giving you evil points and bright clothing giving you good points and evil characters morphing to have darker features. The sequels ease up on it, but it's still present.
The Darkspawn of Dragon Age. The Taint that created them originated from the corrupted Golden City in the Fade, now known as the Black City. Subverted slightly in Awakening with the appearance of intelligent Darkspawn, but even then, the more antagonistic faction of the awakened Darkspawn wear black armor.
This deserves further clarification—the original IV equates dark-elemental abilities with The Dark Side, even having the dark-elemental protagonist's "Spirit" score drop as he levels up and becomes more hardened. As part of the plotline, he's eventually required to give up his powers and Restart at Level One with light-elemental abilities. Final Fantasy IV: The After Years goes a more balanced route—having been unable to completely purge his dark side, the hero is ultimately forced to accept and control it. Dissidia: Final Fantasy takes this all the way to Dark Is Not Evil.
It's still up in the air where Sinfest falls in regards to this—devils aren't always evil, but the capital-D devil definitely is, and his influence is highly corruptive. (Then again, Light is Not Good is in effect as well—the most moral characters are the ones who seek some form of balance.)
In Soul Symphony, the villain Tom Mustaine is always seen wearing a black shirt, black wristbands, and sunglasses. But that may just be because he's a Metalhead.
Western Animation
The main villain from Samurai Jack, Aku, is essentially a giant shadow demon, and things under his control are often artistically depicted as being wrangled by black veins. There's another element to his darkness as well, with robot enemies having black thick oil instead of blood, and his effect on the corrupting effect on the world is a pollution of it in some cases.
Both subverted and played straight with Raven from Teen Titans. She's not evil, but she is part demon, and that's the side of the family her powers come from. This means she has to maintain incredibly strict self-control, especially while using said powers, lest she lose control of them or, worse, unleash her Superpowered Evil Side.
In Avatar The Last Airbender, this is the first clue Jet (synonym for "black") is not such a good guy.
In Allegro Non Troppo 1, all the animals are brightly colored and cartoony, except for those jerk-face apes with red eyes and black sclera, who wreck the planet as they become human but remain vicious animals on the inside. Averted in the beginning with the black proto-blob, unless evolving out of human trash counts as evil.
Nightmare Moon from My Little Pony Friendship Is Magic played this very straight, being a jet black Mad God who usurped Princess Celestia and plunged the world into eternal night. While her true self, Princess Luna, isn't evil, Word Of God confirms that the rest of Equestria is still afraid of her partly because of her actions as Nightmare Moon and partly because they still believe in this trope.
In The Super Hero Squad Show episode featuring Chthon (represented as grey, wrinkled, vaguely demonic man with claws, pointy teeth, and glowing eyes)...
Iron Man: So, what's your prognosis, Doctor?
[Doctor Strange sizes up Chthon, who is cackling and rubbing his hands]
The color black is seen as the color of death in some countries.
These associations became omnipresent in western countries, but elsewhere, white is the colour of death instead. Red has historically also been associated with death; whether it counts as "dark" or not depends.
Time Magazine darkened O.J. Simpson's face when they put his mugshot on the front cover, leading to a lot of criticism from anti-racist commentators.
Light is vital for plants. Over time, darkness will kill them.
Black holes, reality-bending cosmic horrors and sinkholes in space-time. Nothing can escaped their destructive might, not even light (which is why they're dark.)
Since they constantly suck light, though, they tend to be always very bright, hence Light is Not Good as well.