Maybe in a crossover with My Hero Academia. The demigods from Percy Jackson could attend U.A. High. Percy might be seen as having a really unique 'quirk' with his water manipulation. There could be clashes between the two groups at first due to different worldviews, but then they come together to fight a common enemy, like a powerful Titan who has somehow entered the MHA world.
In a crossover with Attack on Titan, the demigods could help the Survey Corps fight the Titans. Percy could use his powers to create huge water barriers to protect the walls or to flood areas and wash away Titans. Annabeth could use her strategic mind to come up with new battle plans for the Scouts. And Grover could use his nature - sensing abilities to detect Titans approaching from a distance.
One idea could be that Percy and his friends get transported into an anime world like Naruto's. Percy could use his water powers in the deserts of Suna and have epic battles against the sand ninjas. They might also learn new skills from the Naruto characters, like chakra control, and in return, teach them about Greek mythology.
One idea could be a crossover with the Harry Potter universe. Percy could visit Hogwarts and have to deal with both magical and mythological threats. Maybe he'd team up with Harry to defeat a common enemy that combines dark magic and ancient Greek monsters.
One idea could be that Percy ends up in the Underground world of Undertale. He might use his water powers in unique ways against the monsters there. For example, he could create water shields to block attacks from the more aggressive monsters like Undertale's Flowey. Another idea is that Sans could somehow end up in the Camp Half - Blood from Percy Jackson. Sans' laid - back attitude would be a contrast to the usually intense and heroic demigods at the camp.
One interesting idea could be the crossover of Percy Jackson with other mythologies in a unique way in the fanfiction. For example, combining the Greek mythology elements from Percy Jackson with Norse mythology. This can create new and exciting adventures for the characters. Another aspect could be exploring different character relationships in a fresh light. Maybe seeing how Percy would interact with characters from another fictional universe in a situation that tests their loyalties and abilities.
A crossover with Harry Potter could be cool too. Percy could visit Hogwarts and participate in a Triwizard Tournament - like event. He'd be the outsider with his unique demigod powers, and there could be a lot of fun interactions between him and the Hogwarts students, like Hermione being intrigued by his abilities.
One idea could be that Percy and his friends from Camp Half - Blood are somehow transported into the Doom universe. Maybe they have to fight the demons there using their demigod powers and the weapons they find in the Doom world. For example, Percy could use his water powers to fight the fire - based demons.
One idea could be that the demigods from Percy Jackson's world accidentally end up in the Descendants' universe. They could team up with the VKs (Villain Kids) to face a common threat that is related to both Greek mythology and the magic in the Descendants world. For example, an ancient Greek monster that has been awakened by the dark magic in the Isle of the Lost.
One idea could be that Artemis takes Percy on a special quest that involves protecting a sacred grove that is being threatened by an ancient evil. This would test Percy's skills in a new environment and also show how he interacts with Artemis' more nature - centered values.
Another interesting plot could involve a prophecy that links the Dragonborn and Percy. They both have destinies to fulfill, and their paths cross when they realize that they need to combine their powers. For example, the Dragonborn's combat skills and the ability to absorb dragon souls, along with Percy's control over water and his demigod powers, could be used to defeat a dark force that threatens both their worlds. It could also explore how the different magic systems interact, like the magic of Skyrim and the magic in the Percy Jackson universe.
A cool plot could be a character exchange. For example, a Legacies character like Hope Mikaelson gets transported to the Percy Jackson world. She discovers she has demigod abilities due to some ancient connection between her family and the Greek gods. Meanwhile, a demigod like Percy visits the Salvatore School and has to deal with the politics and power struggles there among the different supernatural groups. They then work together to return to their respective worlds while also forging new friendships and alliances.
One idea could be that the demigods from Percy Jackson's world get caught in a case that the Winchester brothers from Supernatural are investigating. Maybe it involves a monster that has both Greek mythology roots and the dark, supernatural elements from Supernatural. For example, a chimera that is being controlled by a demon to cause chaos in both the mortal and demigod worlds.