The page image is Fate Testarossa from Magical Girl Lyrical Nanoha. She spends the majority of the first season attempting to gather the Jewel Seeds before Nanoha, at the behest of her mother, Precia. Eventually, she ends up severely overexerting herself in an attempt to obtain all of the remaining Seeds at once, and is stopped by a concerned Nanoha. Fate ends up returning home empty-handed, and the camera follows her. It is at this point we learn that Fate is a clone of Precia's original daughter, Alicia, who has spent the past thirty years in medical stasis after a severe accident. Precia considers her a failed project, does not acknowledge her as a person, let alone as a daughter, and lashes her with a whip when she doesn't fulfill Precia's orders. The aforementioned scene rapidly converts most viewers from enjoying the somewhat humorous tone and subversiveness of the series to "PRECIA TESTAROSSA MUST DIE".
The trope is Older Than They Think, as proved by Karen from the Sally the Witch second series. Karen was cast away from the Magical Realm of Astoria as a little girl alongside her evil father, was poisoned with hate by said father until he died, returned with a big grudge against Sally herself, attempted to separate her from her human friends via her black magic, was less purely evil and much more EXTREMELY bitter and hurt over being alone for years, Sally defeated her with both her magic and The Power of Friendship, AND she ultimately had a Heel Face Turn.
Another very early example is Hilda from Hols Prince Of The Sun. She's a mysterious young girl who bonds with main character Hols, but she turns out to be the sister of the Big Bad Grunwald, and as the story progresses she's more and more conflicted about her loyalties.
Hotaru Tomoe (Sailor Saturn) is subverted. At first, the Outer Soldiers treat her as a Dark Magical Girl because they believe her awakening as Sailor Saturn would bring about The End of the World as We Know It. This turns out to be somewhat true; though Saturn does have the power to initiate an apocalypse, she would never do so unless ordered to by her Queen; however, in the present day her reincarnation is possessed by The Dragon, whose goal is The End of the World as We Know It. The protagonists are understandably confused about Hotaru's motivations for much of the season.
Chibiusa achieved Dark Magical Girl status temporarily in "Sailor Moon R", as she is brainwashed by Wiseman, who corrupts her with dark magic and cruel words, making her believe that she is responsible for her grim future and that no one loves her. As a result, she becomes Black Lady, an older version of herself, with longer hair and a very revealing outfit, and becomes a servant of Wiseman due to her bitterness and pain upon the Dark and Troubled Pastthat she genuinely believes she had. In the manga, she even brainwashes and seduces her father, though. in the anime, she actively hates both parents and tries to kill them in revenge (Usagi does have a vision of Black Lady and Tuxedo Kamen kissing, but it's a part of Wiseman's attempted brainwashing of her. Which doesn't work, by the way.) She returns to her younger and happier original self after a while, however: either by witnessing Pluto's Heroic Sacrifice (manga) or after a pep talk from her parents (anime).
The manga version of Sailor Galaxia is what happens when a Dark Magical Girl grows up and comes into full power before meeting her good counterpart. As you can guess, her mental stateis not pretty.
Dark Nana (Jamanana) from Seven of Seven. She is Nana's dark side/true self, born from her despair over Yoichi and left unnoticed, jealous of all the fun the others had. She has proven to be much, much stronger than the other Nanas, able to hypnotize people easily, teleport, fly with ease, fire energy blasts, and be a badaxe. In the end, she just needed a hug.
Mikoto Minagi from Mai-HiME is truly innocent, sweet, and loving toward everyone she knows — but becomes a holy terror in the defense/service of the brother whom she has been seeking through the entire series, and who turns out to be the biggest Big Bad in the entire show. True to the form of the trope, Mikoto's convinced to do a Heel Face Turn via The Power of Love from Mai, and then she frees her brother from his inner darkness by smashing his pendant with her sword.
Also from Mai-HiME is Nao Yuuki, who travels the path she took because her father was killed and her mother was seriously injured by robbers. Unlike Mikoto, she doesn't get converted over as easily. Making Nao even more tragic, she was beginning to really warm to the group before Natsuki was tricked into attacking her. It's hard not to feel sorry for her when she leaves, screaming revenge and clutching what's left of her right eye, once you realize it.
Nina (among others) from Mai-Otome. Tomoe is an aversion; she's simply pure evil.
In HeartCatch, Yuri Tsukikage/Cure Moonlight also has some traces of this despite being on the side of good. Though quiet, mature and intellectual, she harbours a deep sadness within her heart, unable to forgive herself for her past failures that got her Brought Down to Normal and killed her companion. Eventually, she heals... and then becomes Cure Moonlight again. Incidentally, Dark Pretty Cure from the same series actually doesn't get redeemed, and is in fact Killed Off for Real. Though in a heartbreaking manner.
Misao Amano from Pretty Sammy. While her magical girl form Pixy Misa might not act troubled, in Magical Project S she fulfills the trope to the letter. (One wonders if Fate Testarossa might owe something to Misa, given that both Pretty Sammy and Lyrical Nanoha were Spin Offs of existing series where the Token Mini Moe becomes a Magical Girl...)
Demashita! Powerpuff Girls Z has both Princess Morbucks and Sedusa, the evil super-powered alter-egos of more sympathetic, troubled girls, Himeko and Annie.
Retasu sort of starts out as a DMG — her fear of her own powers made her unusually strong, and she nearly defeated Ichigo and Minto after they discovered that she is a Mew Mew. She loses this coolness upon joining the team...
Suigintou of Rozen Maiden is developed into this role in the sequels.
Miyu of the Vampire Princess Miyu TV series starts out as largely this archetype — a reserved, lonely girl whose only companions are her Team Pet, Shiina, and her battle partner, Larva. However, she's a very atypical case, as she's the main character, and begins to grow out of it due to discovering friends, rather than being lured out of it by the magical girl. Her rival, Reiha, is a more straight example.
Rubi Toujou from Rosario + Vampire starts off as this archetype, but since she's in an Unwanted Harem show, her move to the side of good is a bit different. Later on, she's the one who saves Tsukune from himself.
Yuko Amasawa from Dennou Coil is a dark technological girl (though, with the way technology gets treated in the series, it could just as well be magic). Other than the fact that she is the closest thing the series has to a recurring Big Bad (she's more like a master-less Enigmatic Minion), she fits the trope to a T.
Saint Tail's mother in the manga Kaitou Saint Tail was a Dark Magical Girl named "Saint Lucifer" long before Meimi was born. Convinced to Heel Face Turn by Saint Tail's father, they settled down together. (In the anime, she was always good, though more morally grey than Meimi.)
Crona the Witch Sword User from Soul Eater. His/Her mother, Medusa the Witch, "trained" Crona by forcing Crona to beat his/her pet rabbit to death, and locked Crona in a closet until s/he agreed to do so. Then they ate the rabbit. S/he also has the Black Blood taint and the demonic sword, Ragnarok. Maka befriended her/him with warrior therapy and became his/her staunchest supporter after the Heel Face Turn. Then in Chapter 96, where s/he has graduated to Big Bad Friend.
Naha Midori from Telepathy Shoujo Ran, who was Genre Savvy enough to do an immediate heel face turn. She then goes on to get practically adopted into Ran's Family, and spends the rest of the series living the good life. Ohara Momoko is a dark magical girl who grows up without going through the face turn, and is miserable because of it.
Izayoi Aki from Yu-Gi-Oh! 5Ds when she first appeared, having been alienated from other people due to her fearsome Psychic Powers. When Yusei met her, she was unstable and had developed a destructive Split Personality (the Black Rose Witch) out of anger and guilt, and was hostile towards him for bearing the mark she believed was responsible for her suffering (actually the sign she was a chosen one). As with most examples of this trope, she joined the heroes after being defeated by the main character - in this case, it took two Duels and some help from her parents, who truly regretted neglecting her, for Yusei to get through to her. However, after the Dark Signers were defeated, she took the opportunity to live a normal life, without causing pain to others, something that she couldn't do before.
Utau Hoshina from Shugo Chara! is an example played straight. Though whenever Ikuto stops by, she goes from a serious and brooding dark magical girl to lovelorn and cutesy. After both of her Charas leave her, she gets some Epiphany Therapy and turns to the side of good.
Gaara, from Naruto, is a Gender Flip; a loney antagonistic foil for Naruto who becomes a good guy and a friend after his defeat in part 1. The fact that both of them are jinchuriki seals the deal.
If the flashbacks are to be believed, Hinata could have been this if not Naruto's influence on her. She has the father-issues and the loneliness and 'group pariah' status as Naruto.
Nami in Sora o Kakeru Shoujo. Her powers are tech-based, but she fits perfectly character-wise.
Yue Ayase is an interesting case who teeters back and forth on the edge of averting this trope for most of the series. Most of her "dark" traits are most apparent near the beginning of the series when her primary character attributes (apart from being Nodoka's best friend) involved being a slightly chillyBrilliant, but Lazyserial snarker. In fact, Yue barely averts what could have been a Start of Darkness when her feelings for Negi led to her thinking that she had betrayed Nodoka in a moment of weakness; rather than face her best friend, she chose to run away, and were it not for Nodoka's timely intervention, poor Yue could have sunken to the emotional depths required for DMGs. Regardless, she doesn't unlock her magical abilities until a fair way into the series: by that point, she's warmed up to the rest of the group, effectively ditching the most negative DMG traits she had around the same time she became a mage. At this point, it's hard to say for certain whether Yue is a recovering DMG or just an unusually cynical/snarky Magical Girl.
We also have "Poyo" from the Rainyday twins, who has touches of Dark Action Girl.
Homura Akemi, the in-house poster girl for this trope, is a subversion. She was Good All Along, opposing Kyuubey (a.k.a. Incubator, arguably the Big Bad of the series) and doing everything for the sake of Madoka . She did, however, invoke this trope for the sake of not getting too close to, and thus hurting, Madoka - that, and after failingso many times, she's quite the Broken Bird.
Fate/kaleid liner PRISMA☆ILLYA: Prisma Ilya, the Magical GirlSpin-Off version of the horrifying and adorable Ilya, gains a rival and subsequent ally in Kuro, a dark-skinned duplicate of herself with more attitude and fewer morals. Oh, and any pain inflicted on Ilya is also transferred to Kuro, making for some hilarious self-inflicted punishment.
Sigil from Hyper Speed GranDoll is a textbook example. Even before getting converted to the good side by the heroine's friendship, she's a pretty honorable girl who's only on the villains' side because she's in love with the Big Bad. She also has Les Yay with the heroine and Takes The Bullet for her.
Morgan Le-Fay is the closest to a Dark Magical Girl in the Ah! My Goddess franchise. She appears in the Movie, as a beautiful fairy who works as the messenger of Big Bad and Belldandy's first love Celestin, who sends her to drive Keiichi and Belldandy apart so he can use this to make Belldandy his Apocalypse Maiden and then go Rage Against the Heavens. It's later explained that Morgan lost her lovee when they couldn't go through the Gate of Judgement as a test of their love, which emotionally broke her; when Keiichi and Belldandy manage to pass through it in the end, Margan's faith in love and the world is ultimately restored.
Esperanza from Sorcerer Stabber Orphen. She's beautiful, silent, a talented magic user and swordswoman, and with one single goal: to fulfill a dangerous Deal with the Devil, alongside her father, so she can save her little sister Lycoris's life. For that, she won't hesitate to damn herself and whoever crosses her path.
Azalie is this too, and arguably even more so. As a Teen Genius, she became obsessed with becoming a powerful sorceress due to having the man she loved, Childman, reject her love declaration. Said obsession became madness, and the horrible results had her becoming Bloody August, the Big Bad dragon of first season. She's not evil, but is incredibly broken and embittered due to the consequences of turning into a dragon, and midway through the first season she starts to plan her Revenge on those who wronged her... and specially Childman.
Though her skills are based on Psychic Powers, Lina from Cyborg009 fits in perfectly personality wise. She's a kind and quiet girl, thoughtful and softspoken... and one of the most powerful members of a certain Quirky Miniboss Squad.
The first Cardcaptor Sakura movie gives us Mahoudoushi/The Enchantress. The contrast with her and Sakura, the Magical Girl, is revealed over the course of the movie. Mahoudoushi is a lonely Hot Witch who practised Black Magic, and she turned sour after her lover and mentor Clow sealed her away. After fighting the Magical Girl and losing, she has a Heel Face Turn, and manages to finally pass on in peace.
Also the Big Bad from the second movie... The Nothing Card. All that she wants is to have her old friends alias the other Clow/Sakura Cards back to her side. She reacts with fright, tears and screams if it seems someone will seal her away for a second time, then unleashes her magic in terror. What can she do with said magic? She doesn't so much as flinch to erasing an entire town's populace in her frenzied search. It is only when she realises such actions mean the cards won't accept her that she begins to doubt her methods, and Sakura then fuses Nothing with The Nameless Card, creating The Hope card.
The very uncommon mix between Dark Action Girl and Dark Magical Girl happens in Tenkuu Senki Shurato. Nara-oh Renge comes off as the first in the beginning, what with her genuine and huge fighting skills and her no-nosense attitude... but as the story continues, we see that personality-wise Renge is much closer to this trope: she's not a bad person in herself, just a confused and emotionally-broken young girl who sincerely loves her Evil Mentor Indra and has inner pain about it. After being killed in battle and brought Back from the Dead, Renge makes a Heel Face Turn and is firmly on the side of good from then on.
Yugi from Tenchi in Tokyo, in a rare Big Bad example. She was an Artificial Human created for experiments and had few idea of how the world worked as well as how much she hurt others with her powers. This lead to ber being sealed away by the then-Juraian Empress (an ancestor of Ayeka and Sasami) as the only solution despite how she was terrified of darkness and isolation. She grew VERY bitter and brewed an Evil Plan to conquer the Universe (which involved creating Sakuya to break havoc among Tenchi and his Unwanted Harem among other things), befriended Sasami who became her Morality Pet (to the point of deliberately keeping her outta her plans, and then kidnapping her to keep her by her side). To defeat her Tenchi had to reason with her and pull her outta a Villainous Breakdown (in which she cries and screams that she doesn't want to be buried again) instead of killing her. One Cool Down Hug and she's redeemed.
In the Weiss Kreuz CD dramas, Sally Schumars gives quite the vibes. She's a pathologically shy girl who possesses strong and unexplained abilities and almost gets burned at the stake for it, then is kidnapped by Eszet, and ends up landing with Schwarz. By the time this happens, the girl's self-worth is so unexistant that, when Farfarellosays he wants to kill her, she doesn't even seem to care.
Pretear's anime version of Takako/Fenrir is a rare Big Bad version. She broke down and had a Face Heel Turn after having her feelings for Hayate rejected, which did NOT mix well with her deep insecurities. Like most Dark Magical Girls, she is ultimately redeemed and the last shot we see of her is her Happily Ever After with Sasame, her Second Love.
In the anime, Himeno's stepsister Mawata briefly plays the role after Takako uses her Heroic BSOD upon being cruelly rejected by a Face Heel Turned Sasame and being overwhelmed by her loneliness, then steals her soul and locks her in a magical tree. Himeno has to make a MASSIVE effort to get Mawata back, and then she goes off to face and redeem Takako.
Hiromi "Potamus" Kawanami from Wedding Peach makes a nice contrast to The Heroine Momoko. She's a devil Yandere and her rival in love. In one scene she transforms between human and devil forms by shouting her true name, similar to Momoko. Then she has a Heel Face Turn.
Fan Fic
Defying this trope is the premise for Magical Girl Lyrical Nanoha fic Game Theory. The fic's version of Precia still has the same goals as in canon, but pragmatically treats Fate better; the result is that Fate still has plenty of DMG tropes, but is also completely loyal to her mother. The trope is then inverted when Nanoha is convinced to join Fate and Precia's side - and it's Nanoha who suffers the most in the fic.
Film
Sleepy Hollow's rendition of Katrina Van Tassel (Christina Ricci) has strong whiffs of the trope. She is a kind-hearted Strange Girl who always dresses in white, knows lots about legends and herbal medicines, at least once draws a magical circle for protection, and is shown making a potion and chanting a spell when Ichabod is ill. And she ends up as the target of the Big Bad... who is another witch, actually. And her Wicked Stepmother.
Literature
Sword of Truth: Nicci, once her backstory gets fleshed out. She goes from evil, power-hungry bitch to a huggable walking apocalypse.
Sorceress Arachnia in Tales of the Five Hundred Kingdoms is a lonely girl whose story was supposed to be something like Hansel and Gretel. Eventually she found love and decided she would be happier being good while appearing dark and spooky.
Live Action TV
Power Rangers usually prefers the Dark Action Girl route, but Marah & Kapri from Power Rangers Ninja Storm, Lothor's bumbling nieces, are more DMG-ish. They don't really want to be evil; they just want to be normal teenage girls, valued by their uncle ("By marriage", as Lothor points out.). He finally leaves them to be destroyed in the Grand Finale, but Cam, Lothor's biological nephew, reluctantly decides to save them "because they're family". In the Reunion Show, they pretended to rejoin Lothor, but actually worked behind the scenes to free Cam's father, Kanoi... who then went on to save Cam, Hunter, and Blake... who then went on to save the Dino ThunderPower Trio from being wiped out by Ninja Storm'sThree Amigos.
Video Games
She's not magical, per se, but Metal Gear Solid Portable Ops has a notable case in that the Magical Girl and the Dark Magical Girl are originally presented as twin sisters - the Magical Girl is devoted to her sister and talks about her a lot, while the Dark Magical Girl stalks around alone trying to read people's minds. It turns out that...well, both 'sisters' join forces with the hero to destroy the Big Bad at the end - and give a prophecy together.
Mokou is an odd example in that she has all the earmarks of this trope, but her image is overshadowed by her on-off rivalry with Kaguya and her interaction with Keine. And she wears suspenders and red poofy pants.
Chidori Yoshino from Persona 3. She has inborn healing powers, is a Persona user who survived hideous experiments, needs drugs to survive ( more exactly, to keep her Persona from killing her)... and she's also a part of Strega, a group that opposes the protagonists. For worse, she gets in a Star-Crossed Lovers deal with The Lancer Junpei, and pulls an Heroic Sacrifice for him. You can give her a happier ending in FES, but it's not exactly easy to achieve.
Phyrra Alexandra in Soul Calibur V. Her whole life was a massive Break the Cutie, starting from the moment when she was infected with a shard of the Soul Edge as a little girl, which caused the misfortune and ultimate death of her mother Sophitia; this led her to become Tira's companion and have her Soul Edge-induced demonic power awakened. What's the result? She beecame the wielder of Soul Edge as Phyrra Omega, and it took her long-lost twin brother Patroklos a lot to finally rescue the poor girl and give her something similar to a normal life.
Jacqli in Ar Tonelico 2. She begins as a non-quite-antagonist who eventually joins the main party after a number of battles. She's cynical in contrast to the heroine duo's idealism and wears wears dark clothing to contrast their bright colors.
Louise Meyrink from The King of Fighters Maximum Impact has quite the shade of this trope. She's a very beautiful and aloof young woman with odd abilities and a mysterious link with Alba Meira ( i.e., she knows his true identity), and who makes her way in the plot to fight Big Bad Jivatma, rescue her kidnapped father, and try helping Alba and his brother Soiree as well.
Visual Novels
Sakura Matou from Fate/stay night. Sweet, nurturing, and devotedly in love with Shiro, but has next to no friends or decent family and she tends to be nearly silent and very submissive when she isn't with Shirou. In one scenario, she snaps after all the horrifying Break the Cutie piled on her for years and becomes an unstoppably deadly force of darkness who supplants the would-be Big Bad that corrupted her. Remember, Beware the Nice Ones.
Web Comics
MegaTokyo's Tohya Miho: we've seen her flip a van with one hand, jump three or four blocks whilst carrying Kimiko, and walk nonchalantly on telegraph wires, and the held-back tears give it away when Kimiko tells her that the lack of emotional connection to others necessarily means the lack of what it is to be alive.
In the Mechagical Girl Lisa ANT, the character Pink Flash is a inversion: she is a mercenary who willfully works for evil alien invaders (as opposed to Lisa, who works for other evil alien invaders because she's too gullible), but she is anything but dark.
Angel Moxie, itself a pastiche of Magical Girl and Anime tropes, had the character of Tristan fill in the role of the Dark Magical Girl. She worked for the villain near the start, but she quickly changed sides after being betrayed.
In To Prevent World Peace, the main character (a villain) takes down dark magical girls in order to make the nice ones stronger.
Web Original
Tami from the web novel Dimension Heroes is brainwashed into working for the evil Dark Lady Scortana, resulting in a radical change both in personality and wardrobe.
Sailor H of Magical Girl Hunters is more of a case of a sociopath Magical Girl (as many magical girls in the series are), but her origin involves a combination of a literally rabid Mentor Mascot and the rest of her team being slaughtered before her. The fact that her sailor outfit is made out of black vinyl and rubber and she wields a whip gives her an honorary status if nothing else.
MSF High Forum: Kiana. Her rival, however, is a straight-Magical girl, who's Wrong Genre Savvy. Said rival, however, is a One-Scene Wonder.
Western Animation
Teen Titans features both Raven and Terra, both Tykebombs, each with their own Dark and Troubled Past who are ultimately unwilling servants of their abusive parental figures, struggling with their transitions from Face to Heel and back again.
W.I.T.C.H. features an interesting variation. The Dark Magical Girl Elyon Brown, alias Princess Elyon from Meridian, fights the heroines because she hates them personally due to a misunderstanding aided by some manipulation — but aside from that, she's a very sweet and naive person, so much so that the heroines have to pull punches against her...especially one of them, Cornelia Hale, who is Elyon's long-time friend. Good thing the misunderstandings are more or less cleared and they became friends again.
Charmcaster from Ben 10, the antithesis to Magical Girl Gwen. In the third series, Ben 10 Ultimate Alien, it turns out that her whole motive for being evil is to gain enough power to free her home dimension from a tyrannical being that killed her parents and left her lonely and bitter. She ends up gaining the typical Magical Girl-Dark Magical Girl bond with Gwen as well. Then majorly subverted when we return to her world and find it's still under the control of a tyrannical dictator: namely, Charmcaster.