In a 'Percy Jackson adopts Harry Potter' fanfic, the plot could start with Percy being on some kind of mission that crosses into the wizarding world. He stumbles upon Harry, who is alone and vulnerable. Percy decides to adopt Harry because he sees the same kind of determination and courage in Harry that he has. As they journey together, they exchange knowledge. Percy teaches Harry about Greek mythology and combat skills, while Harry shares his knowledge of magic. They form a bond that helps them face threats from both magical and mythological creatures, and they might even team up to fight against a common enemy that is a threat to both their worlds.
In this fanfic, Percy would be like an older brother to Harry. He would take Harry everywhere with him, whether it's exploring the forest around Camp Half - Blood or going on a quest. Harry would look up to Percy and learn from him. They would also have some funny moments, like when Percy tries to use a wizard's wand and fails miserably, or when Harry tries to swim as well as Percy but can't. Their relationship would be based on mutual respect and the shared experience of being different from the normal humans in their respective worlds. And they would support each other when facing challenges, whether it's a new monster for Percy or a new dark wizard for Harry.
One possible plot could be Percy finding Thalia in a difficult situation, like being hunted by some monsters. He decides to take her in and protect her. He teaches her about the demigod world and they form a strong bond as siblings. They train together to become stronger and face various challenges from the gods and other mythical creatures.
Maybe the child is an orphan with no idea they are a demigod. Percy senses something special about them and decides to adopt them. He then has to deal with the challenges of raising a child while also protecting them from the various threats in the Percy Jackson universe. For example, he'd have to train the child to fight and also keep them hidden from the wrong eyes. He could introduce the child to Camp Half - Blood, where they meet other demigods and start to discover their true identity.
One possibility is that Percy discovers a young demigod girl in a dangerous situation, like being chased by monsters. He decides to take her under his wing and protect her. They then embark on a journey to Camp Half - Blood, facing various challenges along the way.
Perhaps in the fanfic, Narcissa adopts Harry because she has a change of heart after seeing the destruction Voldemort causes. She wants to protect Harry as a way to atone for her family's association with the Dark Lord. Harry would then grow up in a Slytherin - influenced environment but still hold onto his Gryffindor values. This would lead to interesting interactions with other Slytherins and a different dynamic within Hogwarts.
Maybe Loki adopts Percy because he sees in Percy a power that could be useful for his own plans. But as time goes on, Loki actually starts to care for Percy like a real son. This would change Loki's character development throughout the fanfiction. He might start to make decisions that benefit Percy more than his own self - interested motives, which would be a huge shift for his character.
One idea could be that Percy adopts a young demigod who has a very rare and powerful ability. Percy has to teach this new demigod how to control their powers while also protecting them from monsters who are after the new kid because of their potential. Another could be that the adopted demigod is from a different pantheon entirely, which causes some interesting cultural clashes and misunderstandings within the Camp Half - Blood environment.
A possible plot could be that a powerful Godlingg artifact is discovered that has the potential to destroy both the wizarding world of Harry Potter and the demigod world of Percy Jackson. Harry and Percy, along with their friends, must race against time to find and secure the artifact before it falls into the wrong hands.
Well, if Harry Potter is reborn as Percy Jackson, perhaps his relationship with the gods would be unique. Since he has experience with a different kind of magic system, he might question the Greek gods' ways more. He could try to introduce some of the more organized aspects of the wizarding world, like the Ministry of Magic's rule - making, to the rather chaotic world of the demigods.
Well, perhaps the plot could involve Rias Gremory taking Harry Potter under her wing in a world where the two fictional universes collide. She might use her devil powers to protect Harry from the threats in the wizarding world that Dumbledore couldn't handle. Harry could also learn some new skills from the devilish side of things, like enhanced combat abilities.