Adventure is also a popular theme. Writers like to send them on new adventures that are different from the original plot. It could be something like solving a mystery in a new location. Their skills and how they work together during these adventures are highlighted. Moreover, self - discovery is a theme too. As they go through different experiences, they learn more about themselves, which in turn affects their relationship.
Yes, there might be some great fanfiction out there. You can start by checking popular fanfiction websites like Archive of Our Own or FanFiction.net. Just search for 'tasha zapata edgar reade' on those platforms and you may find some interesting stories written by fans.
Finding Zapata - centric Blindspot fanfiction can be a bit of a hunt. You could start by looking at the tags on fanfiction platforms. Search for tags related to Zapata, like her name, her skills, or her relationships. There might be some great stories out there that really dig into her character, but it might take some time to sift through and find the good ones.
There's also 'Reade and Zapata: Partners in More Than Crime'. This fanfiction takes their partnership from the show and expands on it. It shows their adventures outside of the main storyline, with some really interesting character development for both of them. They face new challenges together and their relationship grows stronger as a result.
In the 'longed for love laura story', Laura is the protagonist of the story. We can assume that she is someone who has a strong desire for love. She might be a young woman who has been through various situations in her life that have made her long for true love. Maybe she has seen others in happy relationships and wishes for the same kind of connection. Without more context, it's hard to know more specific details about her, but she is the key person in this story about longing for love.
Without more context about 'Laura Black Story', it's impossible to say exactly who Laura Black is. She might be a symbol of something in the story, like hope or perseverance, or simply a character with a unique personality and backstory.
You can try Archive of Our Own (AO3). It has a large collection of fanfictions for various fandoms, and there's a good chance you'll find something related to Tasha Zapata and Edgar Reade there.
I don't know who Laura is in this context as the given phrase doesn't provide much information. She could be a fictional character created for this story.