I'm not sure specifically which ones are extremely popular. But on various fanfiction platforms, there are likely many stories with this theme. You can search on platforms like FanFiction.net or Archive of Our Own to find out.
A different fanfiction could explore an alternate universe where Shikamaru and Sakura are paired as genin teammates instead of Naruto and Sasuke. Their journey would be very different from the original story. Shikamaru's intelligence combined with Sakura's book - smarts and physical strength could make them a formidable team.
Sakura may become more patient. In the original story, she can be a bit hot - headed, but in the arranged marriage scenario, she has to deal with Shikamaru's laid - back nature. So she learns to be more patient. Shikamaru, on the other hand, might become more responsible. He realizes he has a partner to take care of and can't just be lazy all the time.
Sakura is a very empathetic person, especially with her medical skills. In a marriage with Shikamaru, she can understand his needs and feelings easily. Shikamaru, who is often seen as aloof, can be brought out of his shell by Sakura's warmth. His intelligence and ability to analyze situations can be beneficial for Sakura too. For instance, if there are any political or social issues in the village that affect their family, Shikamaru can figure out the best way to deal with them. Sakura's kindness and Shikamaru's wisdom can make their relationship a stable and loving one.
One great fanfiction is 'The Unlikely Bond'. It shows how Sakura and Shikamaru, who seem so different at first, gradually come to understand and support each other. Their interactions are really interesting as Sakura's determination and Shikamaru's laid - back yet intelligent nature play off each other.
One idea could be that Sakura and Shikamaru are on a mission in the desert. They encounter a rare desert plant that has healing properties which Sakura is eager to study. Shikamaru, on the other hand, is more focused on getting the mission done quickly and efficiently. Their different priorities lead to some interesting interactions as they traverse the sandy dunes.
There is indeed some. Some fanfictions might focus on how they gradually fall in love, perhaps starting from a mission they go on together where they discover new sides of each other. Others could be set in alternate universes where their relationship develops in a completely different context compared to the original Naruto story.
In many fanfictions, Shikamaru and Sakura might start by being friends. For example, they could be on a mission together. Shikamaru's strategic mind and Sakura's medical skills could complement each other during the mission. As they face challenges, they start to understand and respect each other more. This could gradually lead to a deeper connection between them, like sharing their dreams and fears. And perhaps, over time, they might develop romantic feelings for one another.
One common theme could be exploring the 'what - if' aspect. What if Naruto and Sakura had a different kind of relationship? Another theme might be about suppressed feelings finally being expressed. It could also be about how their relationship would change the overall story arc if they were romantically involved in that way.
Well, it depends on how you look at it. Fanfiction allows for a wide range of interpretations. But considering the canon relationships in Naruto, some purist fans would not be in favor of Naruto and Sakura making out in fanfiction. On the other hand, for those who like to experiment with different relationship ideas, it could be an interesting take. It also might depend on how well - written the fanfiction is and if it respects the overall essence of the Naruto world.