Writers often portray their relationship as complex. They show Luke's unwavering hope to redeem Anakin, which is a key aspect. Luke believes in the good in his father despite all the bad Anakin has done as Vader. For Anakin, his relationship with Luke is a chance at redemption. He loves his son but is burdened by his past actions.
Some writers portray their relationship as more brotherly, with lots of friendly banter and deep emotional support for each other. They might show Obi - Wan as a protective older brother figure to Anakin. Other writers may focus on the master - apprentice aspect more strictly, highlighting Obi - Wan's role as a teacher and Anakin's as a student who is sometimes rebellious.
One heartbreaking scene could be Anakin's fall to the dark side and Luke's discovery of it. Luke, who always idolized his father, has to face the fact that Anakin became Darth Vader, a symbol of evil in the galaxy. Another sad scene might be when Anakin is haunted by his past actions as Vader and Luke tries to reach out to the good in him, but there's so much pain and guilt in Anakin that it seems almost impossible for him to fully come back.
It's a bit of both. Anakin's journey is crucial in shaping the Star Wars universe, but Luke's role is also significant as he brings hope and balance.
Anakin's story is marked by his fall to the dark side. He was manipulated by Palpatine and his own emotions. Luke, in his story, has to deal with the threat of the Empire and the knowledge of his father being Darth Vader. He uses his strong will and connection to the Force to overcome these difficulties. Anakin's downfall led to the rise of the Empire, while Luke's actions led to its downfall.
In many fanfictions, Anakin's interaction with droids is influenced by his own emotional state. When he's frustrated or angry, he might be short - tempered with them. However, when he's in a more positive mood, he could be more patient and even friendly. For instance, if he's just had a good training session with Obi - Wan, he might take the time to fix a droid that's malfunctioning and chat with it while doing so.
In many fanfictions, the exploration of the Skywalker legacy is through their shared Force abilities. Anakin was extremely powerful in the Force, and Luke followed in his footsteps. Fanfics might have them using their combined Force powers in unique ways. Also, the legacy is about the family's role in the fate of the galaxy. Whether it's Anakin's role in the fall of the Republic or Luke's in the rise of the New Republic, these stories show how the Skywalkers shape the Star Wars universe.
In fanfics, their relationship can be more openly affectionate. In canon, it's a bit more reserved. For example, some fanfics have Anakin showing more paternal love towards Ahsoka in a very direct way, like hugging her often, which is not something we see a lot in the movies or shows.
Another way their relationship develops in fanfiction is when Ahsoka is wrongly accused again. Anakin stands by her this time without hesitation. This event cements their relationship as Anakin realizes how much he values her. They then start to train together more privately, sharing their unique insights about the Force, and this makes their connection even deeper.
To keep Anakin's character true, writers pay attention to his relationship with the Force. His connection to the light and dark side is crucial. In a crossover, if he's in a world without the Force as we know it, his struggle to understand this new power - less world while still having his internal Force - related battles is a way to stay true to his character. For instance, if he crosses into a world of technology, he might be frustrated by the lack of a spiritual power like the Force and try to find equivalents.
Character development in these fanfics also comes from exploring the relationship dynamics. How does Anakin's fall to the Dark Side change the way Padme sees him? Writers might show Padme's struggle between her love for Anakin and her loyalty to the Republic. They could also explore how Anakin's actions impact Padme's political standing and her relationships with other characters in the Star Wars universe.