Well, one key element is the cultural differences between Archer and Shran. Their species have different values and ways of life, and this often creates interesting conflicts and learning opportunities in the fanfic.
A popular one is 'The Unexpected Alliance'. It explores a scenario where Archer and Shran have to team up against a common, powerful enemy. The story does a wonderful job of building tension and exploring their characters further.
He could save them through combat. If his family is held captive by some evil force, Archer would fight his way through the enemies using his combat skills and archery. His arrows might be enchanted, allowing him to defeat powerful foes easily.
In this type of fanfic, Archer might use his unique skills and abilities to save his family. Maybe he has his signature archery skills that he utilizes to fend off threats. For example, he could be facing a horde of magical creatures and his precise shots are the only thing standing between his family and danger.
Well, in such a fanfic, perhaps Archer sacrifices his arm while saving Arturia from a great danger. Maybe it could be a powerful enemy attack and Archer jumps in the way, taking the brunt of it on his arm to protect Arturia. This would be a very heroic and selfless act on Archer's part.
The Archer in Fate Zero fanfic can also be involved in crossovers. For instance, he might be paired with characters from other Fate series or even from different fictional universes altogether. This can lead to really unique and exciting storylines, as the different powers and personalities interact in unexpected ways.
Archer Artoria in fanfics may also show different sides of her personality. For example, she might have more complex emotional relationships, especially in the context of romantic or friendship - based storylines. Her loyalty and sense of justice remain prominent, but fanfic writers might explore how these traits interact with new situations and characters she encounters in their fictional stories. Sometimes, she could be shown in more vulnerable moments, which add depth to her character compared to the original portrayal.
It could be that Archer's loss of an arm makes him more determined. He might start to train harder with his remaining abilities, and in the process, discover new skills. This could also make him more respected among his comrades. Arturia, on the other hand, might start to see Archer in a new light, not just as a fellow fighter but as someone she deeply cares about on an emotional level.
A common theme is the exploration of their relationship. Whether it's a romantic relationship or a deep friendship, it's often at the center. Another theme is the concept of fate and how they are both bound by it in different ways. Also, the idea of power and how they use their respective powers when together or in opposition is frequently explored.
A fanfic might explore the emotional journey when Arthuria summons Archer Emiya. Arthuria, having carried so much burden alone, might initially be hesitant to trust Emiya. However, Emiya's no - nonsense attitude and his own experiences of fighting for justice start to chip away at Arthuria's guardedness. They could bond over their shared sense of duty and form an unbreakable alliance in the face of powerful enemies.