He would likely be more conflicted. Harry was always a morally upright character, but with Thanos as his father, he'd have to battle inner demons. He might be more powerful physically and have a darker side to his personality that he constantly has to keep in check.
He would be much more physically powerful. Instead of relying just on magic, he could use his Saiyan strength to solve problems. For instance, he might be able to break through magically locked doors with his bare hands.
He would likely become more conflicted. Harry, who was always on the side of good, would now have to deal with this dark lineage. He might be more withdrawn as he tries to come to terms with it.
He would probably be more in tune with nature. Instead of just having a connection to Hedwig, he might be able to communicate with all kinds of animals. So he could be more of a naturalist wizard.
He would probably be more otherworldly. Harry might have an air of mystery around him that the original Harry didn't have. His actions could be more guided by a sense of divine purpose.
Naruto would likely be more conflicted. His usually bright and positive personality might be tempered by the knowledge of his dark heritage. He might become more cautious in using his power, knowing the destruction Thanos was capable of. He could also be more isolated as other characters might fear his potential for evil.
He might be more self - reflective. Since Edmund had his own character arc of learning from his mistakes, Harry could inherit that trait. He would be quicker to admit when he's wrong and more likely to learn from his experiences.
He would be more aggressive. As a Baratheon, he'd inherit that family's bold and sometimes brash nature. Instead of the somewhat reserved Harry we know, he'd be more likely to take immediate action, whether in a duel or in dealing with a problem at Hogwarts.
He would probably be more confident. Since the Mikaelsons are known for their assertiveness, Harry might inherit some of that trait. He could be more bold in standing up to his enemies, not just Voldemort but also bullies at Hogwarts.
He would be more physically capable. Instead of just relying on magic, he could use his Wakandan - trained combat skills. His confidence might also be different. Growing up in Wakanda could give him a stronger sense of self - worth and a more regal bearing, which would set him apart from the original Harry Potter.
Harry would likely have a different sense of self - worth. Knowing he is the son of a powerful underwater hero like Aquaman, he would carry himself with more pride. He might also be more in tune with his emotions, as the ocean is often associated with depth of feeling. And his magical abilities could be enhanced in ways related to water, like creating more powerful water - based spells. He could also be more of a loner, as his unique heritage might make it hard for others to fully understand him.