His personality would be a mix of his original self and Orochimaru's influence. Harry is inherently brave, but Orochimaru's devious nature might make him more cautious and calculating. He might be less trusting of others, always suspecting ulterior motives. And he could also be more ruthless when it comes to achieving his goals, having learned from Orochimaru that sometimes you have to be cruel to get what you want.
Well, he would likely be a loner. Orochimaru isn't exactly a social butterfly, and Harry would probably pick up on that. He might be more introverted and keep his thoughts and feelings to himself. Also, his sense of justice might be warped. While he still has a good heart, Orochimaru's amoral ways could make Harry question the traditional ideas of right and wrong. He might be more willing to bend the rules if he thinks it serves a greater purpose.
Well, if Harry Potter was raised by Orochimaru, his magic might develop in a rather different way. Orochimaru is all about experimentation and pushing limits. He might encourage Harry to explore the darker aspects of magic earlier. Harry could end up with a more unorthodox style of spell - casting, perhaps mixing some of the dark arts with traditional wizardry. But he would also have to fight against Orochimaru's more immoral teachings to stay true to his own values.
Harry would probably be more aggressive in his personality. Vegeta's Saiyan nature is often associated with a certain level of aggression and competitiveness. So, Harry might show these traits more, not shying away from a fight and always striving to be the best in any magical situation.
Harry might have a stronger sense of self - worth. In the original story, he grew up with the Dursleys who made him feel unwanted. But if raised by a phoenix, he would be surrounded by unconditional love and protection. This could make him more confident and self - assured, not easily swayed by the opinions of others and more determined to follow his own path in the fight against evil.
In this kind of fanfiction, perhaps Harry would grow up with a different kind of family warmth. His grandparents might be more traditional and instill in him values that are different from what he would have learned at the Dursleys. He could be more connected to the wizarding world's history as his grandparents might have more stories to tell from the older days. Maybe he would be less bullied and more confident, and his magical abilities could develop in a more natural and unrestrained way.
Well, if Harry Potter was raised by the Joker, he would probably be trained in a very different set of skills. Instead of learning magic in a traditional Hogwarts way, he could be taught how to be a master of chaos and trickery. His values would be completely different too. He might not have the same sense of justice and good that he has in the original story. The Joker's influence could lead Harry to question the very concept of right and wrong. And his relationships would be strange. He may not form the same kind of friendships as he did in the wizarding world. He might be more isolated or form alliances with those on the darker side of the magical or Muggle world.
His life would be a blend of the magical world of Harry Potter and the ninja world elements from Kushina. He might grow up with a strong sense of family, as Kushina was very family - oriented. He could also inherit some of her ninja skills, making him a unique wizard with both magic and physical combat abilities.
His life would be full of magic in a very different sense. Alduin, being a powerful dragon from the Elder Scrolls universe, would teach Harry about a different kind of power. Harry might grow up learning to control dragon - like abilities. He could be more in tune with nature and primal forces rather than the traditional magic he learned at Hogwarts.
If Harry Potter was raised by Maito Gai, his personality would likely be much more exuberant. Gai's positive and energetic nature would rub off on Harry. Harry might be more openly confident and enthusiastic about facing challenges, rather than the sometimes hesitant boy we see in the original series. He could also have a stronger sense of camaraderie, inspired by Gai's bond with his friends and students.
He'd probably be more sophisticated. The Delacour family is known for their elegance and grace. Harry might have a more refined way of speaking and acting compared to his canon self. For instance, he would be more likely to use formal French wizarding greetings.
His personality would likely be more reserved and calculating. Growing up with the Malfoys, he'd be taught to keep his emotions in check and think before acting. He might be more aloof towards others outside of the pure - blood circle at first.