Perhaps he would befriend the outcasts at Nevermore. The ones who are different from the rest and understand what it's like to be in a new and strange place.
If Harry Potter were to go to Nevermore Academy in fanfiction, his friends could be those students who share his sense of justice. There might be students who are also trying to make the academy a better place. Or he could become friends with students who are interested in his Hogwarts stories and magic. They would be intrigued by his experiences and the different kind of magic he knows. Also, students who have a kind heart and are not quick to judge him based on his being from a different magical world could become his friends.
Well, he might find the whole atmosphere very different from Hogwarts. He could meet new and strange characters with unique abilities. Maybe he would struggle to adapt to the different curriculum and social norms at Nevermore.
Hermione would probably be worried at first but then start researching all she can about space magic. Ron would be a bit more skeptical but also excited for Harry. They might try to find a way to communicate with him while he's in space, using some sort of enchanted device.
His other friends from Hogwarts might not even believe it at first. They might think it's some kind of elaborate prank. But once they realized it was real, they might try to find a magical way to communicate with him in Skyrim, or even try to open a portal to bring him back.
Harry Potter's sense of strategy would improve. Duel Academy has its own set of rules and strategies for dueling. He'd have to learn and adapt to them, which would make him a more strategic wizard. He'd also become more open - minded as he experiences a different magical education system. He might start to question some of the things he learned at Hogwarts and find new ways of thinking about magic.
Hermione would probably be a bit worried at first. She might think it's a waste of time compared to studying magic. But then she'd see the benefits of physical fitness and start to support him. Ron, on the other hand, would probably make fun of him a little but also be secretly impressed.
When Harry Potter goes to McKinley in fanfiction, he'd likely meet the jocks and the nerds alike. The jocks might be initially intimidated by his differentness, while the nerds would be fascinated and want to pick his brain about all things magic. He could also meet the school outcasts, who would find a kindred spirit in him.
Well, aside from Thor and Odin, he could meet Sif. Sif is a strong Asgardian warrior, and she might be interested in Harry's unique brand of magic. And of course, there's a high chance of meeting Loki. Loki is always up to something, and his devious nature could either make him an adversary or an unexpected ally to Harry.
He would most likely meet Peter Pan. Peter is the main character in Neverland and he would surely cross paths with Harry. Also, he might meet Tinker Bell, the feisty fairy. And of course, the Lost Boys would be there too, and they would probably be curious about this new boy with strange magical powers.
He might meet Mavis first. Since she's often quite curious and adventurous, she could be the one to come across Harry when he arrives at the hotel. She would probably be very interested in this new visitor who has a different kind of magic than what she's used to.
If Harry Potter goes to Yokai Academy in a fanfic, it could be a wild adventure. Harry is used to Hogwarts' four houses, but Yokai Academy has its own unique system. He'd face challenges like fitting in with the yokai culture. His skills in magic from Hogwarts might not always work the same way. He could end up teaching the yokai about some of his magic, while also learning about their special abilities. For example, he might encounter a yokai who can transform in ways he's never seen before, and they could exchange knowledge about transformation magic.