I'm not sure of any super - popular ones specifically. But there are likely some out there on various fanfiction platforms. It really depends on the popularity of the site and how many fans are interested in writing this type of critical view of Team Cap.
Team Cap bashing fanfiction is often stories where the author is critical of Captain America or 'Team Cap' from the Marvel universe. It might focus on actions or decisions made by Captain America that the writer doesn't agree with, like his stance in 'Civil War'.
Spider - Man's light - hearted and quippy personality can provide a contrast to the more serious and stoic members of Team Cap. His sense of humor can lighten the mood during tense situations. For example, in a battle, he might crack a joke to ease the tension among the team members.
A really good one is 'In Defense of Cap'. It details the events from Cap's perspective in a more in - depth way than the movie. It explores his moral compass and why he made the choices he did. It also has some emotional moments that make you feel closer to the character.
Obviously, Peter Parker is one of the main characters. And from Team Cap, Steve Rogers would be a central figure. Then there are also characters like Bucky Barnes and Sam Wilson who are likely to play important roles as they are closely associated with Steve in Team Cap.
The themes often include heroism. Peter is already a hero, but joining team Cap gives him a new context to show his heroism. Also, friendship is a big theme. He forms new friendships with the members of team Cap and these relationships shape his experiences in the story.
Peter's scientific mind would be an asset. He could work with the team's tech - savvy members. His superhuman strength and agility would also add to the team's combat capabilities. In terms of the team dynamic, he'd be like the little brother that everyone looks out for.
One possible plotline could be Peter's initial awe and nervousness when meeting Team Cap. Maybe he tries to prove himself to them. Another could be that they go on a mission together and Peter learns a lot from their combat experience.
Common themes include power and its proper use. Peter, as Spider - Man, is very aware of his own power and the responsibility that comes with it. He may see Team Cap as misusing their power by not adhering to the regulations. Additionally, the theme of isolation could be present. Peter might feel isolated in his stance against Team Cap, but still holds firm because of his beliefs about justice and the right way to use superpowers.
You can start by looking on fanfiction.net. It has a large collection of fanfictions, and you can easily search for 'Civil War Team Cap Fanfiction' there. There are different categories and ratings so you can find what suits you.