His relationship with Obi - Wan would also change. If Anakin travels to a time when he was just a young Padawan again, Obi - Wan might see a different side of him. Anakin could use his future knowledge to become a better student, and Obi - Wan would be proud of him. Or, if Anakin travels to a time before he met Obi - Wan, he could approach their relationship from a new perspective when they do eventually meet.
One possible fanfic could be about Anakin using time travel to prevent the fall of the Jedi Order and save Padame. He could then ensure a better future for Luke and Leia, guiding them in the ways of the Force without the dark shadow of the Empire looming over them.
Obi - Wan Kenobi could be a great travel companion. Their relationship is so complex, and Obi - Wan could either be there to guide Anakin or to try and stop him from changing too much. Another possibility is Padmé. Since she was such an important part of Anakin's life, she could accompany him and influence his decisions during the time travel adventures.
Another plot twist could be Anakin traveling to a time long before the events of the prequels. There, he discovers the true origins of the Force and uses this knowledge to reshape the way the Jedi and Sith view the Force in his original timeline. This could lead to a new form of Jedi or Sith that combines the old and new knowledge.
In a time - travel fanfic, the twins might find themselves in a situation where they have to convince Anakin to leave the Jedi Order before Palpatine can manipulate him. They could take Padame with them and start a new life away from the chaos of the Clone Wars. This would create a whole new set of adventures and challenges for them, as they'd be on the run from both the Jedi and the Sith. They could use their combined powers to protect themselves and maybe even find a way to defeat the Sith once and for all without Anakin turning into Darth Vader.
In a time travel fanfic, Anakin and Padame could be sent forward in time to meet Luke and Leia. At first, they are shocked by the state of the galaxy. But then, they decide to use their knowledge of the past to help Luke and Leia in their fight against the remnants of the Empire. Anakin, having redeemed himself in this new future, could train Luke further, and Padame could offer diplomatic and strategic advice to Leia.
If Anakin time travels, his character could become more self - aware. He might see the mistakes he made in his original timeline and become more cautious. For example, if he travels back to a time before his relationship with Padmé started, he could handle his emotions better and not let his fear of losing her drive him to the dark side.
One idea could be that Luke and Leia time travel back to the time before their parents' relationship soured. They could try to prevent Anakin's fall to the dark side, which would in turn change the fate of their family. Their presence might also have unforeseen consequences, like disrupting the natural flow of the Force. Maybe they meet their younger selves as children, which would create some really interesting and complex scenarios.
Some fanfics might have Anakin time travel to a time when the Jedi Order was first founded. He could learn from the ancient Jedi teachings and bring that knowledge back to his own time to reform the Order. Or he could travel to a post - Galactic Empire era, seeing a galaxy that has either recovered or is still in chaos from his actions as Vader, which would be a huge motivation for him to go back and change things.
Perhaps they travel to a time long before the Clone Wars. Anakin could use this opportunity to learn more about the ancient ways of the Force from Jedi long past. Padame might see how the early Republic was formed and get ideas on how to reform it in their own time. Musfar, if he's a new character, could have some hidden knowledge about time travel itself. They would face challenges like fitting into that different era without disrupting the timeline too much, and also dealing with the different cultural and political landscapes of that time.