One interesting aspect in Emperor Anakin Skywalker fanfictions could be his rule over the galaxy. Some fanfictions might depict how he uses his new - found power to reshape the Jedi Order according to his own vision. He could be shown as a more tyrannical figure, with a completely different set of values compared to his former self as Anakin. Another common theme could be his relationships, like how he deals with Padmé in this new, dark role, or his interactions with former friends who are now his enemies.
One possible plot could be that after Anakin turns away from the dark side, he and Padme work together to bring a new era of peace and prosperity to the galaxy. They use their combined influence to reform the Senate, improve relations between different planets, and promote the growth of the Jedi Order in a more balanced way.
The Sith could still be antagonists. Even though Anakin has turned away from the dark side, there might be remnants of the Sith order who want to see his rule fail and plunge the galaxy back into chaos. They might try to manipulate events and turn Anakin's own people against him.
Archive of Our Own (AO3) is a great place to find Emperor Anakin Skywalker fanfictions. It has a vast collection of works contributed by various authors from all around the world. The tagging system on AO3 makes it easy to search specifically for fanfictions related to Emperor Anakin Skywalker.
There could be a hermit or an outcast Jedi or Sith on Dathomir. Anakin meeting this character could lead to a great revelation. Maybe this character has been in hiding on Dathomir for years, observing the balance of the Force there, and Anakin's arrival disrupts that balance and forces an interaction that changes Anakin's perspective on many things.
He could interact with Luke Skywalker. Imagine Anakin finally getting to meet his son as an ally in the Rebellion. They could train together and share their knowledge of the Force.
Anakin could be angry. He might see his other self as a threat, especially if one represents his dark side and the other his light side. There could be a power struggle between the two versions of himself as they try to assert dominance over the other. Or he could be curious and eager to learn from his other self, about what he could have been or what he can still become.
Anakin could encounter future versions of his friends or enemies from the past. For instance, he could run into a future version of Obi - Wan Kenobi who has also somehow traveled to that future time. Or perhaps he meets a new generation of Sith who have different motives and methods compared to the Sith he knew in his own time. They could challenge his understanding of the dark side and the Force in general.
In some fanfics, it could be Anakin's own self - destructive tendencies. He has made so many bad choices in his life that in the end, his own actions lead to his death. For example, if he continues to pursue the dark side without fully understanding its consequences, it could ultimately consume him and lead to his demise.
Often, their interactions start from a place of conflict. Anakin's past actions as Vader create a barrier. However, as the story progresses, they may start to understand each other more. For example, Anakin could reveal his true self to Leia, the self that was once a good Jedi. This could lead to moments of deep connection and mutual respect between them. They might also have to work together against a common enemy, which would force them to communicate and cooperate, leading to a more developed relationship.