Well, he might find that his demigod powers work differently. Maybe in this new world, the water doesn't respond to him in the same way as in his own world. He could also encounter new and strange creatures that he has never seen before, and have to figure out how to deal with them without the help of his usual friends from Camp Half - Blood.
He might encounter new and strange creatures. In many fanfictions, Percy could meet unique magical beings that don't exist in his own world. For example, he could come across sentient plants that can communicate or floating islands with their own mini - ecosystems.
In a 'Percy Jackson banished to another world' fanfiction, Percy would be in for a wild ride. He could find that the laws of physics and nature are completely different. For instance, gravity might work in a strange way or time could pass at a different rate. His skills as a fighter and strategist would be crucial. He may have to learn new languages to communicate with the inhabitants of this new world. And he'd probably have to face his own inner demons while being away from his loved ones and the familiar places of his home world.
One idea for a Percy Jackson famous singer fanfiction could be that a famous singer is actually a demigod in disguise. Maybe they use their music as a form of magic or to communicate with other demigods secretly. For example, their lyrics could hold hidden messages about upcoming quests or threats to the demigod community.
In Percy Jackson summoned to another world fanfiction, a common trope is the 'culture clash'. Percy's Greek - influenced values and beliefs collide with those of the new world. For example, if the new world has a different view on heroism or honor. Also, the 'mystery solving' trope is often seen. There are usually strange phenomena or ancient secrets in the new world that Percy, with his experience in dealing with Greek mysteries, tries to figure out. And the 'romantic subplot' is popular too. He might meet someone in the new world and develop a romantic relationship, which adds an extra layer of drama to the story.
Another possibility is a group of outlaws or rebels in the banished world who don't trust Percy because he's from another place. They might think he's been sent to spy on them or take over. So they would constantly try to get rid of him. They could be very resourceful and know the ins and outs of the new world better than Percy, which would make them tough opponents.
One interesting plot could be Percy finding himself in a world where the Greek gods have different forms or powers. For example, Zeus could be a benevolent king instead of the often angry god we know. Percy would have to navigate this new world, figure out how to use his own powers in relation to these changed deities, and perhaps find a way back home. Another plot could involve Percy being sent to a world that is a blend of different mythologies, like Greek and Norse. He'd have to deal with new creatures and gods from both mythologies, which would be a real challenge.
Well, it could be a really interesting and terrifying addition. Maybe it could be some kind of ancient monster that was locked away long ago in the world of Percy Jackson. It could be released by some dark magic or an evil demigod. The xenomorph's ability to adapt and its deadly nature would make it a formidable foe for Percy and his friends.
Well, in some fanfictions, Percy might use his water - controlling abilities. Since poison can be in liquid form, he could manipulate the water within the poison, perhaps separating out the harmful components. Another way could be through his demigod powers, which might give him an innate resistance or control over harmful substances like poison.
He could meet other demigods from different pantheons. Since it's a different world, there might be demigods associated with gods that Percy has never heard of before.