One great 'anakin and luke fanfic' is 'The Skywalker Bond'. It beautifully explores their relationship, delving into how Anakin's past actions impact Luke's journey. The story has some really emotional moments where Luke tries to understand his father's complex history. It also features some great action scenes that are true to the Star Wars universe.
In this fanfic, Anakin is in the hospital recovering from the dark side's toll on his body. Luke comes to visit, still hesitant about their relationship. Anakin tells Luke about his past, his fall to the dark side, and how he now regrets it. Luke listens intently. As time passes, Luke starts to help Anakin with his physical therapy, and they bond over shared stories of the Force. Anakin begins to see the good in the galaxy again through Luke's eyes, and Luke sees the potential for his father to be a great Jedi once more.
I'm not sure of a specific 'anakin loves luke fanfic' title, but you can often find some really good ones on fanfic platforms like Archive of Our Own. Just search the tags related to Star Wars, Anakin, and Luke, and you'll likely come across some interesting reads that focus on their relationship in different ways.
Perhaps a fanfic that delves into the time when Anakin was on the cusp of turning to the dark side. Padme could sense the change in him and tries to prevent it with the help of Luke and Leia from the future who somehow travel back in time. This would create a complex web of relationships and a race against time to save Anakin from the dark side.
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.
Another option is Reddit. There are Star Wars fanfic subreddits where people often share and recommend 'anakin and luke fanfic'. You can also post a request asking for good fanfics about them, and the community is usually quite helpful in suggesting some great reads.
In this fanfic plot, Anakin has been in the hospital for a while, and Luke is constantly visiting. One day, Luke brings in an old Jedi relic that he found. This relic has some sort of connection to Anakin's past. As they study it together, it triggers memories in Anakin. These memories are both painful and enlightening. Luke helps Anakin face these memories and deal with the emotions attached to them. Through this process, their bond grows stronger, and Anakin becomes more in touch with the light side of the Force that he once knew, with Luke as his guide on this journey of self - discovery.
The fanfic could be set during the Clone Wars. Anakin's dark side starts to emerge due to the stress and manipulation. Padme notices the changes in him. Meanwhile, Luke and Leia are prophesied to be the ones who can save the galaxy from the dark side that Anakin is falling into. It could show how their fates are intertwined even before they are born, with Padme trying to protect the future of her children and Anakin.
One idea could be a story that focuses on Anakin's internal struggle between his love for Padme and his fall to the dark side as Darth Vader, while Luke and Leia unknowingly grow up in the shadow of their father's actions. It could explore how their lives might have been different if Anakin had not turned, and how they eventually come to terms with his true identity.