A possible plot could be that a Bleach character, like Ichigo, gets lost and ends up in the wizarding world. He discovers he has some latent wizarding abilities due to the magic in his own world interacting with the magic in Harry Potter's world. This could lead to him enrolling in Hogwarts, where he has to hide his true identity as a Soul Reaper while also trying to find a way back home. Meanwhile, Voldemort might sense his power and try to either recruit him or destroy him.
Maybe there's a magical object in the wizarding world that is actually a key to a powerful spiritual realm in Bleach. The characters from both worlds learn about this object and start a race to get it. Harry Potter and his friends team up with some of the good Soul Reapers. On the other side, the Death Eaters and some of the Hollows also form an alliance to get the object for their own evil purposes. This would lead to many battles and interesting character interactions.
One idea could be that the Death Eaters in the Harry Potter world somehow gain access to Hollow powers from Bleach. This could create a new kind of dark magic that the Order of the Phoenix has to deal with. Another plot could involve Hogwarts students being sent to the Soul Society for a special training exchange, and they have to adapt to the different spiritual powers and rules there. And perhaps a powerful Hollows attacks Hogwarts and the wizards have to team up with the Soul Reapers to defeat it.
Another idea is to have the Death Eaters somehow get access to Hollow powers. This would create a whole new level of threat in the Harry Potter universe. The characters from Bleach could then be called in to help the Order of the Phoenix deal with this new threat. Harry Potter might learn some skills from Ichigo about combat and vice versa.
In a Bleach and Harry Potter crossover fanfiction, it could be fascinating if the Quidditch players in Harry Potter had to face off against Hollows during a game. Imagine the chaos! Or perhaps the magic spells in Harry Potter could be used to enhance the powers of the Soul Reapers in Bleach. For example, a spell could be used to strengthen the bond between a Soul Reaper and their Zanpakuto. And if the Triwizard Tournament had a special task where the contestants had to team up with a Bleach character to defeat a powerful combined threat of a Dark wizard and a powerful Hollow.
One interesting idea could be the combination of magic systems. In 'Harry Potter', there's wand - based magic, while in 'Bleach' there are spiritual powers. Maybe in the fanfiction, characters from both universes learn to use the other's power source. For example, Harry Potter could learn to use reiatsu (spiritual pressure from 'Bleach') to enhance his spells, or Ichigo from 'Bleach' could learn how to use a wand to focus his spiritual energy in a new way.
One idea could be that Naruto and Ichigo meet in a dimension where their powers are combined. They have to fight a new, powerful enemy that threatens both their worlds. For example, a villain who can manipulate the energy of chakra and reiatsu at the same time.
Well, perhaps the Death Note from the Bleach universe gets mixed up with the magic in Harry Potter's world. A powerful wizard could get hold of it and start using it in ways that disrupt the balance of life and death in both worlds. Harry and his friends would have to figure out how to stop this misuse, with the help of some Bleach characters who understand the true nature of the Death Note.
One idea could be that the Hogwarts students are visited by Naruto and his friends. Naruto could show off his ninja skills, like the Shadow Clone Jutsu, which would amaze the wizards. The wizards, in turn, could introduce Naruto to magic like the Patronus Charm. Another plot could involve a common enemy that requires both the power of ninjutsu and magic to defeat. For example, a dark wizard who has also acquired some dark ninja arts.
One idea could be that Naruto is somehow transported to the wizarding world. He might attend Hogwarts and use his ninja skills in the wizarding duels. His chakra could be seen as a unique form of magic there.
One idea could be that the X - Men visit Hogwarts to teach the students about mutant powers and how to co - exist with those who are different. Another could be that Harry Potter discovers he has mutant abilities and has to navigate both the wizarding world and the world of mutants.
One idea could be that Tonks gets involved in Harry's search for Horcruxes. Maybe her Metamorphmagus abilities help them in disguising and sneaking into places undetected. For example, she could transform into a Death Eater to infiltrate their meetings and gather information.
Another plot could involve the Quincy from Bleach. Uryu could be mistaken for a Devil by some of the Highschool DxD characters because of his unique powers. This misunderstanding could lead to a conflict at first, but then they realize they are all on the same side against a greater threat, like a powerful fallen angel who is trying to start a war between the Hollows, Devils and Quincies.