There are a lot of anime siblings with screwed up relationships out there. Some of these horrible anime brothers and sisters are trying to kill each other, some are trying to screw each other, and others come from horrendously dysfunctional anime families with terrible parents who make it pretty much impossible for their kids to get along. You'll find weird anime sibling relationships in everything from action hits Naruto and Kill la Kill to emotionally driven shows like Yuri!!! on Ice and March Comes In Like A Lion. Some of these messed up anime siblings could seriously use some family therapy.
Sasuke & Itachi Uchiha From Naruto
Sasuke Uchiha's primary goal in life is to murder his older brother Itachi. He doesn't care if he dies, doesn't care if he has to mortgage his body to the deplorably creepy Orochimaru, doesn't care if he has to kill hundreds of other people and betray his friends, he only wants to end his brother's life. Why is this so important to him? Because Itachi murdered all the rest of the Uchiha clan, leaving Sasuke an orphan.
This is screwed up enough, before you start layering on the complications. First of all, Sasuke adored his brother prior to the event, so the betrayal hits a lot harder than it might have if they weren't close. Second of all, Itachi had little choice in the matter. At age 13, he was convinced by a corrupt government leader named Danzo to take out his whole family. Why does he agree? Because if he doesn't, Danzo would have the whole family killed anyway. By killing his family, he was allowed to spare his own life, and that of his baby brother Sasuke. Had Itachi told his family and tried to fight back, it would have sparked a civil war, an option that a teenager with war-induced PSTD isn't likely to go for.
Sasuke doesn't learn any of this until after he gets his revenge, so the two never have a chance to reconcile. Thanks for the heaping helping of tragedy, Kishimoto.
Inuyasha & Sesshoumaru From Inuyasha
Although their relationship does improve somewhat over the course of the series, Inuyasha and his half-brother Sesshoumaru pretty much hate each other. Why? Because Inuyasha is half-demon, half-human, and Sesshoumaru, a demon without the human influence, has a huge problem with that. Basically, his issue is fantasy-world racism. That, and the fact that their demon father gave Inuyasha the Tessaiga, a weapon far more powerful than the Tensaiga he gave Sesshoumaru. At one point, their relationship gets so bad Inuyasha chops Sesshoumaru's arm off. Obviously, it's not exactly loving.
Touka & Ayato Kirishima From Tokyo Ghoul
Before their parents died, Touka and Ayato were an inseparable team whose goal was to hunt and kill humans. This sounds horrifying until you realize that they are ghouls, non-human creatures who cannot survive without eating human flesh. That's not the screwed up part — it's just the premise of the series. The Kirishima sibling's relationship falls apart when it becomes clear that they have very different views on humans.
Touka wants to live peacefully with them as much as possible, which is what draws her to Anteiku, a coffee shop run by ghouls that protects its employees and gathers food for those who can't get it themselves. Meanwhile, Ayato finds her desires to be weak and pathetic, and the two end up on opposite sides of a ghoul-led civil war. When you're actively trying to kill your sibling and their friends, it's pretty much a top-tier bad relationship.
Satsuki Kiryuin & Ryuko Matoi From Kill La Kill
To be fair, Ryuko and Satsuki don't actually know that they're sisters until the series is almost over, but considering the fact that every time they meet they try to murder each other, it's fair to say they still count as "dysfunctional siblings." Satsuki starts off as the leader of high school/military city called Honnouji Academy. Ryuko wants to kill Satsuki because she believes her to be behind her father's death.
Midway through the series, Ryuko's goal changes to toppling Satsuki from her seat of power. When they finally discover they're related, Satsuki wants to work together in order to defeat their common enemy (their mother Ragyo), but Ryuko is busy being mind-controlled by alien fibers. The two eventually do form a positive relationship and fight together, but it's an involved process to say the least.