One possible reason could be to protect his friends. Maybe he discovers a new threat that is specifically targeting him, and he decides to leave Beacon Hills to draw the danger away from those he loves. For example, in some fanfictions, a powerful and vengeful supernatural being might be after Stiles, and he believes that by leaving, he can keep his friends safe.
Perhaps he is in search of a solution to a problem that can't be found in Beacon Hills. He might have heard about a rare artifact or a powerful being in a far - off place that could help with a current situation, like a cure for a supernatural illness that has affected someone close to him. So, he leaves to find it.
Well, one possibility is that he comes back to help his old friends deal with a new supernatural threat. Maybe there's a powerful and mysterious creature that the remaining pack members can't handle on their own, and Stiles' return is the key to their survival.
Maybe he meets Lydia. She was always an important part of the group, and her intelligence and supernatural abilities might lead her to be the first to cross paths with Stiles. Their encounter could be filled with a bit of mystery and a lot of relief that he's back.
They're compelling because they offer new perspectives on the characters and the town. It's interesting to see how things change without Stiles.
Maybe he's tired of the spotlight in England. In some fanfictions, he could be seeking a new start away from the prying eyes and the constant media attention that comes with being in England.
The plot could involve Hermione using her magical skills in the world of Beacon Hills. Maybe she helps the pack with some supernatural threats using spells and potions. For example, she could create a protection spell around the town to keep out certain dangerous creatures.
One possibility is that Harry's arrival in Beacon Hills shakes up the existing power dynamics. If there are different factions in Beacon Hills, like werewolves, hunters, etc., Harry could be an unexpected wildcard. He might form alliances with some while being a target for others. His magical abilities could either be a great asset or a cause for fear among the residents. For example, if there's a conflict between the werewolves and some dark force, Harry could use his magic to help the werewolves in ways they never expected, but this might also draw the attention of those who don't trust magic in the town.
The town of Beacon Hills itself might be affected. Stiles was always in the middle of things, helping to solve supernatural mysteries. Without him, there could be an increase in unexplained events. And some of the townspeople who knew Stiles, like Sheriff Stilinski, would be deeply affected on a personal level, with the sheriff possibly becoming more overprotective of the remaining youth in town.
One possible reason could be that he suddenly realizes he's putting Bella in too much danger. In the Twilight universe, Bella's life is constantly at risk because of Edward's vampire world. Maybe in the fanfiction, he decides at the last minute that he can't bear to see her hurt because of him.
In some fanfictions, Harry might leave his family because of a prophecy or a special mission. He might feel that he has to go it alone in order to fulfill this prophecy or complete the mission successfully. His family might not understand or be able to support him in this, so he decides to leave. Also, there could be jealousy or resentment within the family that makes the environment unbearable for Harry.
It could also be due to a power struggle. Naruto is extremely powerful and independent. If Rias or other members of the peerage try to control or limit his power in some way, he would not tolerate it. His power is a part of who he is, and he's used to using it freely to protect others. So this could lead to his departure from the peerage.