One possible fanfiction could be about Lena Luthor becoming a mentor to young Kara Danvers. Lena, with her intelligence and resources, could help Kara understand the complex world around her while also learning to control her powers better. Maybe Lena discovers Kara's identity early on and decides to guide her in secret, away from the prying eyes of Lex Luthor and other potential threats.
Power and leadership are common themes. Since Kara is an alpha, her ability to lead and her immense power are often explored. For instance, she might be leading a group against a powerful villain in the fanfic.
The plot could be centered around a time - traveling adventure. Barry Allen uses his speed to travel through time and accidentally brings Kara Danvers to a different era. There, they find a lemon grove that has some sort of magical properties. A villain wants to use these properties for evil, so Barry and Kara must protect the lemon grove and find a way to get back to their own time.
One great 'alpha Kara Danvers fanfic' is 'Kara's New Path' which explores Kara's alpha side in a unique way. It shows her leadership and strength in handling various challenges in National City.
In many of these fanfictions, a theme of mutual support and growth is present. Kara might help Lucy understand the world of superhumans better, and Lucy could support Kara in dealing with her human side. Also, the theme of discovery, both of each other's true selves and of their feelings, is quite common. They start as acquaintances or even rivals perhaps, and then gradually realize their love for each other through various events and interactions.
In a fanfiction, perhaps there is a threat to National City that only Kara and Lena can stop together. Young Kara, with her raw power, and Lena, with her strategic mind. They start off not trusting each other completely, but as they face challenges, they learn to rely on one another. For example, there could be a villain who has a device that can nullify Kara's powers, and Lena has to figure out how to reverse it while Kara buys her time.
One great fanfiction could be about Barry Allen and Kara Danvers teaming up on a mission where they encounter a strange phenomenon related to the 'lemon' element. Maybe it's a new type of meta - human whose powers are lemon - based. They have to figure out how to stop this meta - human while also dealing with their own personal issues and the budding friendship between them.
You can try websites like Archive of Our Own (AO3). It has a vast collection of fanfictions, and you can easily search for Kara Danvers and Lucy Lane love stories there. Fanfiction.net is also a popular option. Just use their search functions to look for specific pairings.
The appearance of a science fiction story on AMV is unpredictable. It could be anytime based on factors like the creator's inspiration, available resources, and audience demand. So, you just have to keep an eye out for it.
For a love story AMV to be outstanding, it needs a well-chosen song that conveys the emotions of the story. Also, the editing has to be seamless, with smooth transitions between scenes. The quality and clarity of the video clips matter a lot too.