Perhaps the story could focus on how Harry's grandmother's influence affects his relationship with magic itself. She might have a more old - fashioned view of magic, which could either clash or blend with the modern magic that Harry encounters at Hogwarts. For instance, she could have a preference for wandless magic, a skill she tries to teach Harry. This could set him apart from his peers and lead to some interesting scenarios in his classes. Also, his grandmother's stories about the family's magical heritage could inspire Harry to explore areas of magic that are not typically covered in the Hogwarts curriculum, such as ancient spells passed down through generations of his family.
One possible plotline could be Harry using Mycroft's deductive skills to figure out the true nature of his parents' death earlier. He might not trust Dumbledore as blindly and instead start his own investigations.
In some fanfictions, the plot could revolve around Snape teaching Harry about the Dark Arts in a way that Dumbledore never would. Harry might become more proficient in defensive spells against the Dark Arts but also be more exposed to the darker side of magic. This could create a moral dilemma for Harry as he grows up. Additionally, the relationship between Harry and Draco Malfoy could be completely different, as Snape's influence on Harry might make him less likely to be enemies with Draco from the start.
One possible plotline could be her discovery of magic in the dark and chaotic environment of Arkham. Maybe she has to hide her magic from the more sinister characters there. Another could be her forming an unlikely alliance with some of the inmates who have a sense of justice, and together they help her escape Arkham to find her place in the wizarding world.
Well, perhaps Harry would be more isolated in this fanfiction. Since Greyback is a feared werewolf, other magical beings might avoid Harry. This could lead to him developing a very self - reliant nature. He might also have a different view on magic. Instead of using it for good in the traditional sense, he could use it more for survival and protection, which would put him at odds with some of the more morally upright characters in the Potterverse.
One possible plotline could be that Harry's grandfather imparts unique magical knowledge to him that he doesn't get at Hogwarts. Maybe it's an old - fashioned kind of magic that has been forgotten over time. This could give Harry an edge in dealing with the dark forces.
Harry would probably be more traditional in his views. His grandmother, being from an older generation, would pass on her values. He might be less accepting of some of the more modern or radical ideas at Hogwarts. For example, he could be more hesitant about the idea of house - elf liberation as he's been raised with more traditional wizard - house - elf relationships.
If Harry was raised in Japan, he could grow up in a world where magic is intertwined with Japanese mythology and culture. He might study at a Japanese wizarding school. His upbringing would expose him to things like Japanese magical creatures, which could be different from those in the UK. He could also have a different set of values instilled in him due to the Japanese cultural influence.
One possible plotline could be that Harry grows up with a very different set of values. Since Lucifer is often associated with rebellion and a certain kind of dark knowledge, Harry might be taught to question authority in a more extreme way than in the original series. He could also have some very unique magical abilities that are influenced by Lucifer's nature, perhaps abilities related to darker forms of magic.
One possible plot could be that his grandfather, perhaps a powerful but reclusive wizard, trains Harry in unique magic from a young age. Harry might grow up with a different set of values and skills compared to the original story. He could have a closer bond with the wizarding world's older traditions.
In fanfiction where Harry Potter is raised by his fans, the plot could involve a lot of interesting scenarios. For example, he might be exposed to a much more modern and diverse view of the wizarding world from the start. Fans could introduce him to different magical cultures that were not fully explored in the original books. He might also grow up with a stronger sense of self - worth as fans would likely shower him with love and support, which could make him more confident in his abilities.