You can try some popular fanfiction websites like FanFiction.net. There are a large number of Sonic - related fanfics there, including ones about Shadow and Amy's love story. Just use the search bar and type in 'Shadow and Amy love fanfic' and it should bring up relevant results.
One great 'Shadow and Amy love fanfic' could be 'A Chance Encounter'. In this story, Shadow and Amy meet by accident in a peaceful meadow. The author beautifully describes their initial awkwardness which gradually turns into a budding affection. It shows how their different personalities, Shadow's brooding nature and Amy's cheerful and determined self, complement each other.
One challenge could be the difference in their personalities. Shadow is often cold and distant, while Amy is warm and affectionate. This might lead to misunderstandings, like when Amy tries to show her love in a big way but Shadow misinterprets it as being too pushy. Another challenge is how their friends might react. Sonic and his friends might be a bit surprised by their relationship and it could take time for everyone to accept it.
Shadow and Amy's love story started in an unexpected way. They were both on a mission to save their world. During the adventure, Amy got into trouble and Shadow saved her. This act of heroism made Amy look at Shadow in a new light. She started to admire him more than ever. Shadow, on the other hand, was touched by Amy's unwavering belief in the good. Their feelings grew deeper as they continued to face challenges together, and love blossomed between them.
Love conquering differences is also a big theme. Amy is often portrayed as very open and affectionate, while Shadow is more reserved. But in these fanfics, their love overcomes these disparities. They learn to understand and accept each other's quirks.
Amy Rose has a deep affection for Sonic, not Shadow. So in the official Sonic lore, there is no such love story between Amy Rose and Shadow. However, if we were to imagine it, perhaps they could meet during a fight against a common enemy. Shadow, initially cold and distant, might be gradually warmed by Amy's persistent kindness and her strong will. And Amy might be attracted to Shadow's mysterious and powerful nature.
One great 'Shadow and Amy' love fanfiction is 'Shadow's Hidden Heart'. It beautifully explores their relationship as they face challenges together in a post - apocalyptic Sonic world. The author does a wonderful job of developing their feelings gradually.
One common theme is the 'opposites attract' idea. Amy is often portrayed as more outgoing and emotional, while Shadow is brooding and reserved. Their differences draw them together. Another theme is redemption. Shadow might find a new purpose in life through his love for Amy.
You can try fanfiction.net. It has a large collection of fanfics from various fandoms, and there's a good chance you'll find some amy rose shadow fanfic there.
One good amy rose shadow fanfic could be 'The Adventures of Amy and Shadow'. It might involve their adventures in a magical world where they team up to defeat an evil force. In this fanfic, their unique personalities would shine through as they face various challenges together.