There is definitely some out there. One aspect that might be interesting in these fanfictions is how Percy's powers could be different since his parentage is from Zeus and Hera. In many traditional stories, Percy is a son of Poseidon, but in these fanfictions, he could have lightning - based powers or other abilities related to Zeus and Hera's domains.
One common theme is the struggle for identity. Percy, who is usually associated with Poseidon, now has to come to terms with being the son of Zeus and Hera. Another theme could be power - how he manages and discovers his new powers.
I'm not sure about a specific 'Percy son of Zeus and Hera fanfic' that stands out above all others. However, you can try looking on fanfic platforms like Archive of Our Own. There, you can search for this specific type of fanfic and read the reviews to find a really good one. Usually, the ones with high ratings and a lot of bookmarks are worth checking out.
One possible plot could be Percy discovering his new parentage of being the son of Zeus and Hera. He might struggle with the new identity as it goes against what he previously knew. For example, he could face challenges from the other demigods who are suspicious or jealous of his new status. He then has to prove himself worthy of this new heritage while also dealing with the complex politics among the gods.
Power and responsibility are often themes. Percy being the son of two major gods has a great deal of power, and he has to learn how to use it responsibly. Also, acceptance is a theme. He has to gain the acceptance of the other gods and demigods who may be skeptical or even hostile towards him at first.
Some of the minor gods who feel overshadowed by Zeus and Hera might be antagonists. In this fanfiction, they could see Percy as a symbol of the over - dominance of Zeus and Hera. They might plot against Percy to send a message to his parents. These minor gods could use their unique powers and their knowledge of the magical world to create all sorts of problems for Percy, from cursing him to setting up traps in his path.
In this fanfiction, Naruto's appearance might be different. Since he is the son of two powerful gods, he could have a more majestic look. His eyes might glow like lightning or have a special color. His story could involve him trying to fit in with the normal ninjas while also coming to terms with his divine parentage. He might face discrimination from some who fear his power, but he overcomes it with his kind heart, just like in the original Naruto story.
If Percy was the son of Zeus and Hera in the fanfiction, his powers would be a blend of their divine attributes. He'd have the power of lightning, for sure. But also, he could possess the power to influence the fates of others to a certain extent, which is related to Hera's role in the pantheon. He might be able to communicate with birds, which is often associated with Zeus. And his strength would not just be physical but also mental, as Hera is known for her mental fortitude, allowing him to resist mind - control and illusions more effectively.
The plot could revolve around Percy's relationship with his divine parents. Since Zeus and Hera have a complex relationship themselves, Percy might struggle with their expectations. Maybe he's caught in the middle of a power struggle between Zeus and Hera's different ideas of how he should use his powers. He could also be trying to unite the camps of different god - related demigods under his leadership as the son of two major gods.
The Titans could be the main antagonists. Even though they were defeated before, they might see Percy as a threat because of his powerful parentage. They could try to stop him from fulfilling a prophecy or gaining more power. For example, Kronos might have some remaining influence and try to manipulate events to destroy Percy.