Bleach: Discussed in-universe when Ginjou is training Ichigo; he invokes all the Shounen villain stereotypes to make Ichigo feel as though Orihime's life is on the line because he knows Ichigo performs better when there's a genuine threat against someone's life. At the end of the training, he tells Ichigo that he'd make a very clichéd villain.
The anime version of Aion from Chrono Crusade is one of these. He's the literal Anti-Christ, scoffs at the idea of "desire being called a sin" and attempts to rape one female character and brainwashes another for his own gain.
Lelouch from Code Geasspretends to be a heartless supervillain in order to unite the world through common hatred of him, then allows himself to be killed so everyone can move on and work together towards peace. Yeah, Lulu can be a little weird.
Sir Isaac Ray Peram Westcott from Date A Live. He wants to cause chaos, annihilation, destruction, and the deaths of women and children, and he'd do anything to plunge the whole world into endless chaos, destruction and suffering as possible and makes no secret of it. He's only subtle if he needs to manipulate someone.
The most dead-straight example is Devimon, the franchise's first Big Bad. Upon his death, his last words are to tell the heroes that they've wasted their time because evil is everywhere and cannot be defeated. He laughs with his final breath, knowing evil will go on.
King Piccolo, who even says "There are two things that I, Demon King Piccolo, hate most in this world: Peace and justice".
Captain Ginyu. When Goku tells him he should try helping others, he replies "Don't try to reform me".
Frieza, who openly gloats about his cruelty and admits that all the horrible stories about him are true.
Turles. When Goku states that Gohan knows right from wrong while Turles does not, Turles responds "I know the difference, I just don't care".
Broly: "A monster? No, I am a devil!"
Mercenary Tao is a Psycho for Hire who delights in his sadism and cruelty, to the extent that after forcing a tailor to do a week's worth of work on his destroyed uniform in three days, he refused to pay him on the grounds that doing so would ruin his reputation as a cold, ruthless assassin.
Tao then reconsiders, and decides to offer the man 'payment' in the form of doing what he does best: killing someone. When the man declines, not wanting anyone dead, Tao shows his offer wasn't optional by killing him with a single finger to the head.
Most of the major villains in Fist of the North Star, even the most cruel ones, tend to avert this, with the exception of Kaioh, who clearly brags about being strengthened by evilness.
Lust from Fullmetal Alchemist is very proud of being evil. She revels in causing humans pain and suffering, and compliments Mustang's determination while he's killing her, stating that one day soon, his eyes will widen with agony and despair.
After War Gundam X has Shagia and Olba Frost, a Big Bad Duumvirate who ally themselves with a new petty tyrant or corrupt official almost weekly (after first backstabbing the previous one) and whose goal is to make humanity destroy itself just because some Federation officials didn't think their Twin Telepathy was useful. They take a good deal of satisfaction in their killing and betraying; when plotting with each other, Shagia outright says they'll have to do something evil, and Olba is particularly fond of Kick the Dog.
Mobile Suit Gundam 00 has the freaking incarnation of the third sphere, Ali Al-Saachez. The world of Gundam generally (pretend to) have multidimensional villains with some understandable motivations. Or, at least, villains that are good at self-justification and excuses. Ali is probably the only villain in the entire existence with Gundams to readily admit that he loves war for war's sake, that he commits his (numerous) crimes For the Evulz, and that this makes him the worst sort of person in the world. He has absolutely no problem with it.
Mobile Suit Gundam: Iron-Blooded Orphans had a lot of card carrying villains in the first season. The CGS forces cares little about the lives of the Third Unit and rewards Orga for saving the CGS base from destruction by beating him to a pulp. The Brewers managed to up the ante by being Obviously Evil caricatures among likes of Kudal and Brook utterly grotesque physical appearances as they employ Human Debris as cannon fodder among them Akihiro's brother Masahiro who is broken by the years of abuse. Second Season had Rustal Elion who makes no obvious secret that what he does is extremely heinous but does it anyway for the sake of victory.
The Major from Hellsing. He is one of the best examples. He cheerfully admit openly that he loves war, destruction, horror, holocaust, genocide, the slaughter of innocents, death and loves every kind of war that mankind can evoke over the world.
InuYasha himself, pre-Character Development, openly admits to Kagome and Kaede that he's one of the "wrong hands" that they mean to keep the Shikon Jewel shards away from.
The Band of Seven are unrepentant murderers to the extent that Mt. Hakurei's purity makes them feel sick.
The Hückebein family in Magical Record Lyrical Nanoha FORCE, as shown by the interrogation scene with the captured Thoma, where Fortis explains how the Hückebein performs one of their trademark massacres of innocent settlements.
Thoma: "You really are evil criminals." Fortis: (While smiling and doing an "Oh, please" hand gesture) "Didn't we introduce ourselves like that?"
Because of their openness about their crimes, the Hückebein are a big contrast to the other main villain, Hades Vandein, who pretends to be an innocent civilian despite being Obviously Evil.
Majin Tantei Nougami Neuro has Neuro, an actual demon who enjoys eating mysteries; while he claims to be evil, he never kills humans and tends to be more an amoral troll than a "monster". On the other hand, we have Sicks, who is doing it For the Evulz.
Mazinger Z: Dr. Hell got his backstory and a motivation to want to Take Over the World in the Gosaku Ota manga version (essentially he's a Woobie, Destroyer of Worlds wants to force everybody to kneel before him), and most of his Co-Dragons follow him out of loyalty. But Viscount Pygman felt no loyalty towards Hell. Mind raping and brainwashing several characters, fighting Mazinger-Z and Aphrodite-a with his bare hands, wreaking havok, take overthe Institute... his motivation to make all these things seemed being "for the hell of it".
Great Mazinger: Dragon-in-Chief Great General of Darkness (Ankoku Daishogun) was very clear about his goals: he wanted the ancient Mykene civilization returned to the surface world and felt the light of Sun for first time in milennia, and he thought conquering the surface and wiping the whole humanity out was the only way to accomplish that. However, Big Bad Great Emperor of Darkness didn't make clear that was his motivation. Then again, he was Hades. It's a bit hard not being evil when you are a God of Evil.
UFO Robo Grendizer: Vega's homeworld was dying cause the overexploitation of a rare radioactive mineral called vegatron. Big Bad King Vega started his campaign of conquest through the galaxy because he needed to find a suitable world to settle their people on (and because he was a power-hungry bastard). His Co-Dragons followed him out of loyalty to him or to the Empire, and some of them were WellIntentionedExtremists, but Barados... Good Lord, Barados was pointlessly cruel and he committed atrocities as laughing: deliberately murdering women and children to exterminate a planet's population, taking hostages to blackmail his enemies with and then killing them in a horrible way... Let's tell than The Hero Duke told that was the only Vegan he could not forgive and when he died, no Vegan higher-up missed him.
The Evil Overlord Moo in Monster Rancher is one of these who isn't played for laughs. He revels in his hatred and villainy because negative emotions empower him, thus it benefits him to be evil as much as possible.
In My Hero Academia, people who use their Quirks as authorized by the government to protect the innocent take up the Hero profession. Likewise, those that use their Quirks for evil and commit crimes are labelled "Villains". It's played straight with the main antagonist group, who call themselves the "League of Villains".
Several villains (and heroes) in One Piece revel in their status as criminals and rejoice when their bounties increase (though some, like Nami, don't see what all the fuss is about, and others, like Robin, are nonchalant about it). The Shichibukai are considered 'Government Dogs' for choosing to become privateers to the World Government (though next to nobody is dumb enough to say that within earshot of any of them).
Team Rocket (the whole organisation, not the Terrible Trio) in Pokémon. According to Cassidy and Billy, rivals to the trio, the motto they use is the real Team Rocket motto (where there are phrases like "To infect the world with devastation!" and "To blight all people in every nation!") and the motto Jessie and James use is, instead, a corrupted version (this version has phrases that imply that they see themselves as Knight Templars). Ironically, when Jessie and James updated their motto to become Card-Carrying Villains (from Battle Frontier up to the end of Sinnoh), the motto Cassidy and Paunch use was also updated, and the phrases were Knight Templar-ish themselves.
In terms of the Pokémon themselves, Ekans/Arbok and Koffing/Weezing insist to be Punch Clock Villains that follow the orders of Jessie and James, but otherwise are amiable to the twerps' Pokémon. (see: "Island of the Giant Pokémon") Meowth, however, is a technically wild Pokémon who seems to engage in Team Rocket's villainy for kicks. While he also has his "nice" moments (especially in the Pikachu shorts), he more often than not has an ulterior motive for such cooperative behavior (for example, his Heel–Face Mole mini-arc in Best Wishes).
Pixy Misa in the Pretty Sammy series is the self-professed evil mistress of chaos and destruction.
Happōsai from Ranma ˝ has no motivation for being an asshole and enjoys making peoples' lives miserable, even more so when his students take the fall for him. He, at one point, declares himself "evil 'till the day [he] die[s]". And attempting to think of being nice gives him seizures.
She may have mellowed out since, but Kokoa Shuzen from Rosario + Vampire definitely started out as one, even going so far as to claim to have been "born into a family of villains" in an early chapter of the second serialization, shortly after her debut. Within minutes of that declaration, though, she finds herself with humble pie in her face when Tsukune, who she thought had severely watered down her older sister Moka, saves her from the Monster of the Week.
Rurouni Kenshin: Makoto Shishio occasionally refers to himself as a demon from Hell and fully expects to go there when he dies... and take it over.
Shinzo: The original evil Mushrambo, who used the title "Dark King". Not very convincing when you're trying to portray your own side as victims of humanity.
Xellos from Slayers is this whenever he isn't siding with the protagonists. Being a powerful demon in the service of powers that want to destroy the world and feeding off from negative human emotions does that to a person. He makes an effort to avoid killing the good guys because they're such fun, though.
Mint from "Trouble Chocolate" is a parody of this.
Let's face it, every villain on this show is both a figurative and a literal card-carrying villain.
Yu-Gi-Oh! ARC-V has Zarc, the original self of protagonist Yuya and his alternative selves. Zarc has made it very clear that he wants to destroy the world, one at a time. But it's averted when Ray states he must have had some good in him, as Yuya had his original personality.