One way to categorize fictional characters is by the character alignment system. Originating in the fantasy tabletop game Dungeons & Dragons, this system involves nine different alignments consisting of combinations of good, neutral, evil, lawful, and chaotic. Most anime characters can also be sorted into this system.
Let's examine one of these alignments: chaotic evil. Chaotic evil anime characters aren't bound by laws or morality. Some, like Mr. Satou from Ajin and Ladd Russo from Baccano! are motivated by the act of destruction. Any actual reasons they might have are simply window dressing. Others do have powerful motives like revenge, the pursuit of immortality, or keeping other people away from their man, but their methods are violent and unrestrained.
For some viewers, these characters are the best kind of villain because they're wholly unpredictable and love destruction. Even if you prefer neutral or lawful characters, there are still probably a few villains on here that you'll appreciate. Be sure to vote up your favorites.
All Hisoka really wants is to satisfy his bizarre sexual appetite by fighting strong opponents. While he does occasionally help out the good guys, he only does it because he wants them to be strong enough to be worth destroying later.
Why does Solf J. Kimblee love blowing things up? Aesthetic. He considers his life-destroying explosions to be refined and beautiful experiences, and he doesn't care in the slightest how this impacts the rest of society.
Dio Brando wants to take over the world not because he has any intricate goals for it, but because he wants to feed his own enormous ego. He'll happily commit a full range of atrocities to get there, ranging from destroying people's pet dogs to taking out his own allies.
As the head of the League of Villains, one would think that Tomura Shigaraki would have an intricately detailed plan with clear and specific goals in mind. While he does have some goals, those are largely determined by other people way later in the series - his own methods involve creating chaos for the sake of sating his own destructive impulses.