One possible plot could be that the Avengers find a weakened Loki after a battle. They decide to take care of him not out of trust but to keep an eye on him. Thor is conflicted as he wants to believe his brother can change. They nurse Loki back to health, and during this time, Loki starts to see the Avengers in a different light, leading to some comical and heart - warming moments as he tries to fit in without losing his mischievous charm.
Thor's relationship with Loki would likely become more complex. He'd be glad his brother is being cared for but also worried about Loki's true intentions. The Avengers, like Tony, might start to see Loki as more than just a villain. They could develop a begrudging respect for his intelligence. For Loki, he might start to feel a sense of belonging, which is something he's never really had. This could soften his attitude towards the Avengers.
Thor could be one of the first to take care of Loki. Despite their differences, Thor still cares about his brother. He would use his strength to protect Loki from any threats while Loki is sick and might even search for rare remedies.
In fanfics, the Avengers can take care of Peter in many ways. They could share their own experiences with him. Thor could talk about his battles and how he overcame difficulties, which would inspire Peter. They can also help him with his identity as a superhero. Maybe Doctor Strange uses his magic to show Peter different versions of himself and how to choose the right path. And of course, they can just be there for him as friends, having movie nights or sharing meals together.
There's a fanfic called 'The Loki - Avenger Alliance'. In this story, Loki is forced to team up with the Avengers due to a common threat from another dimension. It's full of action scenes and interesting dialogues between the characters, especially Loki's sarcastic remarks which are really in - character.
In many such fanfics, the Avengers might find Loki through various means. Sometimes it could be intelligence they gather about the location where he is being tortured. For example, they might intercept a message from Loki's captors or notice some strange energy signatures that lead them to the place.
One great 'Avengers take care of Peter' fanfic could be where the Avengers teach Peter different combat skills. For example, Tony Stark might show him advanced tech - based fighting moves. Another could focus on the emotional support they give him. Maybe after a tough mission, Natasha Romanoff helps Peter deal with the trauma. And then there are those where they take care of his daily needs, like Steve Rogers making sure he eats well.
One common theme is redemption. Since Loki has done a lot of bad things in the original stories, many fanfics focus on him trying to make up for his past actions and gain the trust of the Avengers. Another theme is family, especially his relationship with Thor which often plays a big part in the stories. Power is also a theme, like how Loki's magic can be both a threat and an asset to the Avengers.
In a Truth or Dare Avengers and Loki fanfic, there could be a really funny scene where Loki is dared to transform into Captain America and do his patriotic speech in a comical way. It would be hilarious to see Loki's take on Steve Rogers' serious moments.