In some fanfictions, it could be that she was an outsider from the start and the pack finally decided that they couldn't fully trust her. She might have been brought into the pack under certain conditions, and when she didn't meet those expectations, like failing to complete a task that was crucial for the pack's safety or growth, she was kicked out.
Perhaps she was kicked out due to personal conflicts within the pack. If there were other members who didn't like her or were jealous of her for some reason, they might have spread false rumors or convinced the pack leaders to expel her. It could also be that she was in a relationship that the pack disapproved of, and as a result, they decided to kick her out.
One reason could be a misunderstanding. Maybe someone in the pack misinterprets Stiles' actions as being against the pack's interests. For example, if he's involved in something that looks like it's endangering the pack but in reality he's trying to protect it.
On the other hand, she could see it as an opportunity for a new start. She might gather her strength and decide to prove herself outside of the pack, or she could try to find a new group or community where she would be more accepted.
Perhaps Percy was kicked out because of a prophecy that the camp elders misinterpreted. They thought that Percy's presence would bring great danger to the camp, so they made the hasty decision to expel him. It could also be that there was some sort of political intrigue within the camp. Some powerful figures at the camp might have seen Percy as a threat to their power and influence, and so they fabricated reasons to get him kicked out.
One reason could be causing disruption. If the 'crusade' involved making a lot of noise, blocking hallways, or disturbing classes, the school would likely take action.
One possible reason could be that she has different beliefs or values from her family. For example, if her family follows a very traditional path and she wants to pursue something more modern or unorthodox like a career in a non - traditional field that the family doesn't approve of.
One possible reason could be his unruly behavior. Naruto is known to be a bit of a troublemaker in the series, always pulling pranks. In fanfiction, this might be exaggerated, and the orphanage might not be able to handle it anymore. Another reason could be that he's suspected of being involved in something dangerous or illegal, even if he's innocent. For example, if there are strange incidents around the orphanage and Naruto is the easy target to blame because of his reputation.
One possible reason could be his prankster nature. Maybe he played one too many harmless but annoying pranks on the staff or other orphans, and they decided they'd had enough. Another reason might be the fear of the Nine - Tails within him. Even if the people in the orphanage didn't fully understand what it was, they could sense something dangerous about Naruto and wanted to distance themselves from him for safety reasons.
Maybe he's falsely accused of stealing important Gryffindor artifacts. For instance, if the Sword of Gryffindor goes missing and Harry is wrongly blamed, the house might decide to kick him out. It could be part of a plot by a jealous student or an outside force trying to disrupt Hogwarts.
Maybe he got into too many fights. Natsu has a short temper and if there were other students in the academy who provoked him or if he was standing up for someone, he might have engaged in brawls that the academy doesn't tolerate. In a place like Fairy Tail Academy, they might have strict rules about student behavior regarding fighting.
It could also be due to a false accusation. Perhaps someone framed him for something he didn't do, like stealing important artifacts from the school. And in the world of RWBY, if he was found to be secretly associated with a group that the school considered dangerous, that would also lead to his expulsion.