One way to combine their powers is through a magical artifact. Let's say there is an ancient artifact in the wizarding world that can only be activated by a combination of magic and alien energy. Harry and Starfire would have to figure out how to work together to activate it. During this process, they could learn from each other's powers. Harry could learn about Starfire's control over her energy, and Starfire could learn about the intricacies of magic. This could lead to them developing new combined abilities, like a spell that allows Starfire to teleport short distances using her energy, which was initially powered by Harry's magic.
In fanfiction, perhaps Starfire's alien physiology could be used to enhance Harry's magic. Her unique body chemistry might react with magic in a way that gives Harry access to new spells or a stronger connection to magic. On the other hand, Harry could teach Starfire some basic magic, like levitation, and she could combine it with her natural powers to create a new form of combat or movement. They could also work together to create a magical - energy shield, with Harry providing the magical framework and Starfire supplying the energy.
Their powers could combine in a really cool way. Harry's magic could enhance Starfire's energy blasts. For example, he could cast a spell on her hands that would make her energy blasts more powerful or more accurate. On the other hand, Starfire's superhuman strength could help Harry in physical combat situations. If they were surrounded by enemies, Starfire could use her strength to clear a path while Harry used his magic to hold off any attackers from a distance.
Well, Naruto's Rasengan could be combined with Starfire's starbolts. For example, Naruto could use his chakra control to shape Starfire's energy into a Rasengan - like attack.
The wizards' magic could be combined with the hunters' combat skills. For example, Harry could use his magic to disarm or stun enemies while Sam and Dean use their physical combat and weaponry skills. The witches and wizards could also learn from the hunters about how to deal with non - magical but still very dangerous threats. Like, Hermione could study the symbols and sigils used in Supernatural to create new spells or wards.
Their combined powers could work in various ways. Since Percy has a connection to the gods and can communicate with sea creatures, he could call upon them for help. Harry, with his magic, could then enhance the abilities of those creatures. For example, he could use a spell to make a hippocampus (a sea - horse - like creature in Percy's world) fly faster or have stronger attacks. This way, they are using both their demigod and wizard powers in harmony.
In fanfiction, Naruto's shadow clone jutsu could be combined with Goku's Instant Transmission. For example, Naruto creates multiple clones and they all use Instant Transmission simultaneously to surround an enemy. This would be a very effective strategy.
Naruto's Rasengan could be encased in Elsa's ice to create a more powerful and destructive attack. The ice would make the Rasengan even more solid and increase its impact.
Well, Naruto's chakra control and his ability to use shadow clones could be combined with Medea's magic. For instance, Medea could use her magic to enhance the power of Naruto's shadow clones, making them stronger or giving them special abilities.
A creative combination could be that the Central Perk coffee shop is secretly a wizarding hangout in the Muggle world. The Friends gang unknowingly serves magical drinks to wizards and witches in disguise. There could be a plot where the regulars at Central Perk start to notice strange things happening, like people disappearing into thin air or cups refilling themselves. And the Friends characters have to figure out what's going on with their new 'weird' customers.
The settings can also be combined. Picture a scenario where the Forbidden Forest in Hogwarts is used as a training ground by Kakashi for the students. He could set up ninja - like obstacle courses among the magical trees and dangerous creatures. This would bring a whole new dimension to the Hogwarts experience.
Another way is to create a crossover where the worlds of Naruto (where the Mangekyou Sharingan comes from) and Harry Potter collide. In this scenario, the rules of both universes would have to be adjusted. For instance, the magic in Harry Potter could interact with the chakra system of Naruto. A character with the Mangekyou Sharingan could use it to detect hidden magical spells or even use their Sharingan - based abilities in magical duels, adding a new dimension to the battles in the Harry Potter world.