Well, he might be captured by some Earth - based villains. Maybe S.H.I.E.L.D. mistakes him for a threat and holds him. They could try to study his alien technology and powers.
Perhaps a powerful and secret organization on Earth captures Star Lord. They could be after the Infinity Stones that he has some knowledge of. He might be locked in a high - security facility. During his captivity, he could befriend some Earthlings who help him escape. Or he could use his wits and charm to manipulate his captors into letting him go.
In the fanfic, if Star Lord is captured on Earth, it could lead to all sorts of interesting scenarios. For instance, his fellow Guardians of the Galaxy might come to rescue him. But they would have to deal with Earth's defenses and heroes. Earth heroes could either help or hinder the rescue depending on how they view Star Lord. Also, the captors might try to use Star Lord to get access to valuable information about the outer space and other galaxies. There could be a great power struggle as different parties on Earth try to gain control over him.
In such a fanfic, Star Lord might be abducted by an alien race. They could be after his unique skills or the technology he has access to. For example, the Skrulls might want to use his knowledge of the Guardians' ship to improve their own fleet.
In this fanfic, Katniss might face intense torture. The Capitol is known for its cruelty. They could use various methods to break her spirit, like starving her or subjecting her to mind - games. Maybe they'll try to use her as a tool to control the rebels, threatening to kill her if the rebellion doesn't stop.
In such a fanfic, Naruto might be subjected to various interrogations by Kumo. They could be interested in his Nine - Tails power. Maybe they would try to extract information about Konoha's secrets through him.
Well, in such a fanfic, Harry might be subjected to various interrogations by Abstergo. They could be trying to extract some sort of special knowledge or power from him.
Ezra could be tortured for information about the Rebellion. The Empire would be eager to know Rebel plans and bases. His capture might also lead to the discovery of some of the Rebels' secrets if he accidentally reveals something under duress.
Well, one possibility is that the technology from Star Wars would start to merge with Earth's. Droids could become common household items, helping with daily chores. And starships might be parked in our skies, changing the whole dynamic of Earth's society as people try to figure out how to interact with these new, alien things.
Well, he could be rescued by his friends. Maybe Raven uses her magic to track him down and then the team like Cyborg and Starfire fight off the captors.
Well, in a fanfic where these characters are captured, there could be a lot of intense situations. Maybe Aizen, being the crafty character he is, would try to manipulate the situation to his advantage. Ichigo, on the other hand, would probably be looking for a way to break free and fight back. And Irukia might be using his cool - headedness to assess the situation and come up with a plan. They could also be forced to work together against a common enemy in the fanfic, which would be an interesting dynamic considering their different personalities and powers.
In this fanfic, Naruto might be tortured for information about the Hidden Leaf. The Akatsuki are known for their ruthless ways, so they could use various jutsu to make him talk.
It could be a powerful alien - hunting group on Earth. They see Star Lord as an alien threat and decide to capture him.