In some fanfictions, Sirius Black time travels to the past and teams up with his younger self. They work together to expose the Death Eaters' plans earlier. This creates a really cool dynamic as the older Sirius has more experience and the younger one has more energy and impulsiveness.
There could be a fanfic where Sirius Black's time travel is accidental. He gets sent to a random point in time during the First Wizarding War. He has to figure out how to get back while also trying to help the Order of the Phoenix in that time period. He might meet some old friends or enemies he thought were long gone, which adds a lot of drama and mystery to the story.
One great fanfiction could be where Sirius Black travels back in time to prevent his own imprisonment in Azkaban. He might use his knowledge of the future to avoid being framed by Peter Pettigrew. This could change the entire course of the story, as Harry would then have a more stable and present godfather figure in his life from an earlier stage.
The theme of second chances is also prevalent. In time travel stories, both Harry and Sirius may get opportunities they missed in the original timeline. For example, Sirius could save his friends who died earlier. And also, the exploration of the past and how it shapes the future is a key theme. They go back and learn things that change their perspective on the present and future of the wizarding world.
It would likely create a lot of chaos. Sirius Black is already a bit of a wildcard in the Harry Potter world. If he becomes like the Joker, the sense of safety at Hogwarts would be completely shattered. Students would be constantly on edge, not knowing what he'll do next. The teachers would have a hard time controlling him, and it could even lead to changes in the power dynamics between different houses.
It's possible in fanfiction, but it would be a huge departure from his character. Sirius Black is a Gryffindor, known for their courage and loyalty to the side of good. He has personal reasons to hate Voldemort, like the death of his friends at the hands of the Death Eaters. But fanfiction authors might create a complex backstory to justify his joining. Maybe they could write that he was under a powerful spell or was tricked into believing Voldemort had different intentions. Still, it would shock most fans who know the original Sirius.
One interesting story could be where Harry travels back in time and teams up with a young Sirius Black to prevent some of the tragedies that later befall the wizarding world. They might use their combined knowledge of the future and Sirius' skills as an Animagus to outwit dark wizards.
You can start by looking on popular fanfiction websites such as Archive of Our Own (AO3). It has a large collection of Harry Potter fanfictions, and you can easily search for ones that involve Harry and Sirius Black in a time - travel scenario using the search bar.
There's also 'Time's Twist' which delves deep into how time travel affects the relationship between Sirius Black and Harry Potter. The author does a wonderful job of exploring the emotional side of their connection as they navigate through different time periods together. It's full of interesting plot twists and character development.
One great fanfiction has Harry Potter and Draco being sent back in time by a malfunctioning magical artifact. In the past, they find themselves in the middle of the formation of Hogwarts. They have to adapt to the very different magical environment and social norms. As they try to find a way back to their own time, they end up influencing the founding of Hogwarts in small but significant ways, like suggesting new rules for the houses that promote unity among students.
Fanfiction about these three can take many forms. For example, there could be time - travel fics where Harry goes back in time and meets Regulus and Sirius when they were younger. This could lead to all sorts of interesting plot twists, like Harry trying to prevent Regulus from joining the Death Eaters in the first place. Or it could be a fic where Sirius survives and he and Harry explore the secrets of the Black family together, including things that Regulus left behind. There are also fics that focus on the emotional bonds between the characters, showing how the different personalities of Regulus, Sirius, and Harry interact and influence each other.
Perhaps in a fanfiction, Lily Potter's ghost has a special connection to the magic of love that still exists in her ghostly form. She uses this connection to heal the wounds of those who have been affected by the war. For instance, she could help Neville Longbottom overcome his insecurities by showing him visions of his parents and how they fought bravely. This would not only strengthen Neville but also have a positive impact on the overall morale of the students at Hogwarts.