For some unlucky anime characters, nothing ever seems to go right. Anime characters with bad luck have outrageously hard lives filled with seemingly endless misery. Many are characterized by their ill-fatedness, and a few are literal gods of misfortune who intentionally spread bad tidings. When properly executed, bad luck can add pathos and depth to a story; when done wrong, it can seem excessive and silly.
It's hard to imagine a more hellish life than the one lived by Guts. He's born from the corpse of his mother who was hung as a heretic. Then, he's adopted by the horrifically abusive Gambino, who does everything from beating him to selling his body.
Berserk doesn't let up on Guts after his terrible childhood is over. As an adult, he joins the Band of the Hawk, a team who his former friend Griffith dramatically betrays, killing most of the members. After that, Guts continues to endure an endless cavalcade of horrors as he tries to rescue his girlfriend Casca.
Poor Ken Kaneki. All he wanted was to go on a date with a cute girl, but he got a lot more than he bargained for when he decided to take Rize out. Unfortunately, Rize is a ghoul, which means she eats humans. Before she can eat Ken, the two of them end up in an accident that kills Rize and leaves Ken with organs transplanted from the dead ghoul. Suddenly, he needs to eat human flesh to survive, and thus begins Tokyo Ghoul.
Now, Ken has to choose between cannibalism and death, but he doesn't get much time to adjust to his new reality before his status as a half-ghoul, half-human gets the attention of everyone from crazed perverts to terrorist groups.
As a child, Touma Kamijou of A Certain Magical Index was known as the "god of pestilence" due to the misfortune created by his right hand, which negates all forms of magic. This makes him a target for unfounded superstition, anger, and discrimination. When he gets to Academy City and starts going to school, his classmates are thrilled when bad things happen to him, as they believe he absorbs the bad luck.
If things go wrong for Touma, then they think everything will be okay in their own lives.
Kofuku of Noragami is a goddess of poverty and bad luck, which means she constantly brings misfortune to humans. For this reason, it's not exactly surprising to learn that, unlike many of the other gods in Noragami, Kofuku doesn't have anyone worshipping her.
Despite the trouble she brings, she's actually a sweet, loving person who goes out of her way to help the people (and gods) she cares about.