Maybe a character from Blue Exorcist gets summoned into the Fate universe by mistake. They then have to adapt to the new rules and magic there, and form alliances with the Fate characters to find a way back home. Along the way, they discover new aspects of their own powers.
A more complex plot could involve a dark force that is trying to merge the two universes together in a chaotic way. The heroes from both Fate and Blue Exorcist must work together to stop this. The Saber class servants in Fate could team up with Rin Okumura from Blue Exorcist, for example, using their sword skills and blue flames respectively to combat the common enemy.
A third plot idea is that some of the characters from Blue Exorcist end up in the Naruto universe. Rin and his friends could be intrigued by the concept of ninjas and chakra. They might learn some ninja techniques and in turn, teach the ninja about exorcism. This could lead to a new generation of ninja - exorcists in the Naruto world. They could also help the ninja deal with a dark force that has some similarities to demons from their own world.
One idea could be exploring the backstory of a minor character in the Blue Exorcist world. For example, you could write about the life of a lower - level demon that Rin and the others encounter. Another idea is a time - travel fanfiction where a character goes back to a crucial moment in the Blue Exorcist timeline and changes something, leading to a whole new set of events. Maybe a character gets sent to an alternate dimension where the rules of exorcism are different.
One idea could be that the characters from Blue Exorcist are transported to the world of D Gray - Man. For example, Rin Okumura could meet Allen Walker. They might team up to fight a common enemy that is a mix of the demons from Blue Exorcist and the Akuma from D Gray - Man. Another plot could involve the exorcism techniques from both worlds being combined to defeat a super - powerful evil force.
One plot idea could be that Naruto, with his immortality, somehow gets transported to the world of Blue Exorcist. He teams up with Rin and the others to fight a new kind of demon that is threatening both their worlds. His ninja skills combined with the exorcist powers would make for an exciting adventure.
Another plot could involve Yukio traveling through time. Maybe he goes back to a time when the True Cross Order was first founded. He could witness the original exorcists and their methods, and bring that knowledge back to the present to improve the current exorcist training. This would also be a great opportunity to explore the history of the exorcist world in the Blue Exorcist universe.
One idea could be a crossover where Naruto characters end up in the world of Blue Exorcist. For example, Naruto and his friends could be mistaken for exorcists and get involved in battles against demons. Another idea is to create an alternate universe where the main characters of Blue Exorcist have the powers of Naruto characters. Maybe Rin could have the Nine - Tails' chakra and have to learn to control it like Naruto did.
One idea could be that the main character is reincarnated as a powerful exorcist from a different era and has to adapt to the old ways of exorcising demons while still using their modern knowledge. Another could be a reincarnation where the character comes back as a demon with the memories of their past life as an exorcist, leading to an internal struggle.
One idea could be a crossover with the Justice League. Dr Fate could use his magic to help the League against a powerful magical threat that they can't handle alone. Maybe a dark sorcerer from another dimension is trying to invade Earth, and Dr Fate's knowledge of ancient magic is crucial in devising a counter - attack.
One idea could be that the Servants from Fate are transported to the Halo universe. For example, Saber could find herself in a battle against the Covenant. Her noble phantasm could be a powerful weapon against the alien foes. Another plot could involve Master - Spartan team - pairings. A Spartan could be paired with a mage to fight a common enemy that threatens both the Halo and Fate worlds.
One idea could be that Naruto is summoned into the Fate universe during the Holy Grail War. He might be mistaken for a Servant at first. His unique ninja abilities would disrupt the normal flow of the war. For example, his Shadow Clone Jutsu could be used to confuse the enemy Masters and Servants.