Well, consider the fact that the Olympians are used to being in control. In the fanfiction, the characters might act in ways that are completely against what the Olympians expect. For example, if a character defies Zeus in a very disrespectful way. Zeus would be enraged and might want to punish the character in the fanfiction world. Athena, though, might see the potential in such a character. She could think that the character's defiance shows intelligence and courage, and she might be interested in seeing how the story unfolds further with this 'rebellious' character.
Some of them might be offended. If the fanfiction portrays them in a way that goes against their self - perceived grandeur or if it misrepresents their myths and legends. For example, if a fanfiction makes Zeus look like a bumbling fool instead of the powerful king of the gods, he might not be too happy about it. However, others might see it as a form of flattery that mortals are so interested in their tales that they create their own versions.
If the fanfiction contains positive and respectful portrayals of the Olympians, they might think more highly of mortals' respect for the divine. However, if it's full of disrespect or inaccurate information, they could view mortals as being ignorant or impertinent. For example, if a fanfiction twists the facts about their powers or relationships in a negative way, it could lead to a negative perception of mortals.
The Avengers' reactions would vary widely. Tony Stark, being the tech - savvy and quick - witted one, would probably be making jokes left and right about the fanfiction. He might say things like 'Why do they need a sword when they could have a laser - sword?' Captain America, on the other hand, would be more respectful. He'd try to understand the cultural and mythological aspects of the story. Hawkeye would probably be a bit indifferent at first, but as the story goes on, he might get more interested in the action parts of the fanfiction.
The Olympians might find the fanfiction hilarious. Athena, being the goddess of wisdom, could appreciate the clever plot twists that fans come up with. She might even be inspired to create her own story based on the fanfiction, but in a more 'divine' way. Poseidon might be amused to see how his son Percy is portrayed in different and unexpected situations in the fanfiction.
Poseidon could be quite entertained by the fanfiction about his son Percy. He might appreciate the creativity of the fans. Zeus, as a rather strict and proud god, may be offended if the fanfiction doesn't uphold his dignity. Hades, who is often seen as a bit of an outcast among the gods, might be more open - minded. He could be interested in how mortals imagine his domain and his role in the story. He might also find some of the unique interpretations of his character refreshing, unlike Zeus who is more likely to be affronted by any deviation from the 'proper' view of him.
Some gods might be entertained. For instance, Hermes, being the trickster god, might enjoy seeing the different and often humorous takes on the gods in the fanfiction.
Zeus, being the king, might be a bit dismissive at first. He's used to grandeur and the power plays in Greek mythology. But he could also be intrigued by the strong leadership shown by characters like Naruto. Athena would likely be very analytical, studying the problem - solving and battle strategies in the fanfiction. Ares, on the other hand, might be bored as he prefers more straightforward combat scenarios like in Greek battles.
Well, some Olympians might be offended. In God of War, the portrayals of the gods are often rather violent and not in line with their traditional, more glorified images. For example, Zeus is shown as a rather tyrannical figure in the game, and in fanfiction that might be even more exaggerated. So they might not be too happy about it.
Poseidon's reaction when reading the Lightning Thief fanfiction could be complex. He may start to think about his actions in the original story differently. If the fanfiction offers new perspectives on his motives or his interactions with other characters, he could gain a new understanding of himself. He might also be a bit critical, as he has his own view of how things should be and the fanfiction may deviate from that.
You can start by searching on popular fanfiction websites such as Archive of Our Own (AO3) or FanFiction.net. On these sites, you can use the search bar and type in 'The Lightning Thief' to find a variety of fan - created stories. Some stories might be sorted by popularity, rating, or genre, so you can browse through them according to your interests.