One common theme is the clash of their different worlds. Percy is from a world of gods and monsters, while Natasha is from a world of spies and international intrigue. Fanfictions often explore how they bridge this gap.
There are many places to find such fanfiction. Archive of Our Own (AO3) is a great start. Just search for 'Percy Jackson Natasha Romanoff' on the site and you'll get a bunch of stories. Some might be AU (Alternate Universe) where the two characters from different universes interact in unique ways.
Another idea is that Percy gets thrown into the Marvel universe and Natasha is the first one to find him. She initially thinks he's some kind of new super - powered threat but soon realizes he's from a different realm. They then have to figure out how to get Percy back home while also dealing with the various threats that are attracted to Percy's presence in the Marvel universe.
A possible plot could be that the gods in the Percy Jackson universe and the Avengers in the Marvel universe are somehow connected through a dark magic that is starting to disrupt both worlds. Percy and Natasha are chosen as representatives from their respective sides to investigate. They travel to different dimensions together, facing strange creatures and uncovering secrets about the connection between their worlds.
One great fanfic could be where Percy and Natasha team up on a mission. Maybe Percy uses his water - controlling powers to help Natasha infiltrate a base near a large body of water. It would be an interesting crossover of their different skills.
Yes, there are quite a few. You can find them on popular fanfiction websites like Archive of Our Own. Just search for 'Percy Jackson and Natasha Romanoff' and you'll get a list of stories. Some might be AU (Alternate Universe) where they meet in different circumstances.
Perhaps a story where Percy and Natasha are both sent back in time to ancient Greece. There, they have to work together to change a certain event in history. Along the way, Percy gets to show Natasha his world of demigods and she gets to use her spy skills in a very different setting.
In addition to Percy and Natasha, there could be characters from the Avengers universe who interact with Percy. For example, Clint Barton could be a mentor - like figure to Percy, teaching him archery skills that he could combine with his demigod powers. Or Tony Stark could be involved, providing some high - tech gadgets that Percy could use in his adventures, while also being a bit of a foil to Percy's more magical and mythological nature.
One interesting plot could be Percy trying to balance his demigod powers with the skills he might inherit from Natasha. For example, his water - based powers could interact in unique ways with Natasha's spy and combat training. Maybe he uses his control over water to create distractions during a mission, like making a sudden fog while he sneaks around using Natasha's stealth techniques.
The character dynamics. Percy is often portrayed as brave, a bit reckless at times, but with a strong sense of loyalty. Natasha is a complex character, a highly skilled spy with a troubled past. Their interactions can range from initial mistrust to a deep friendship or more, depending on the story. For example, Percy's powers can be used in creative ways to help Natasha in her missions, and Natasha's skills can protect Percy in a world he doesn't fully understand.