Yes, there are quite a few. You can start by looking on popular fanfiction websites like FanFiction.net or Archive of Our Own. Some of them might focus on their unique bond, like adventures they could have had together or how Asuma's teachings could have influenced Naruto in different ways.
You can expect different takes on their relationship. It could be about Naruto looking up to Asuma as a role model, or it could be a story where they face a common enemy together. Maybe there will be some emotional moments where Asuma gives Naruto some important advice.
In a Naruto saves Asuma fanfiction, Naruto could use his new jutsu skills. Maybe he discovers a way to reverse the damage done to Asuma. It could be related to his Sage Mode powers, which he could use to heal Asuma's wounds.
One common theme is mentorship. Asuma often serves as a mentor to Naruto, guiding him in his ninja journey. This is similar to how other characters like Iruka Sensei and Jiraiya have mentored Naruto in the original series.
In sakura and asuma lemon fanfiction, one possible theme could be the growth of their relationship from a friendship or acquaintance to something more intimate. Another theme might be the conflict between their duties and their feelings for each other. Also, there could be themes related to self - discovery within the relationship, where they learn more about themselves through their connection with the other character.
Asuma's training might make Naruto more disciplined. Naruto is known for his impulsive nature, but under Asuma's guidance, he could learn to think before acting.
Well, perhaps in this 'banished naruto x fem asuma harem fanfiction', Naruto is banished due to false accusations. Fem Asuma, who has her own set of skills and a strong personality, takes pity on him. The harem aspect could start when Naruto starts to train with Fem Asuma and other female trainees join in. They see Naruto's unique abilities and his kind heart, which makes them fall for him one by one.
The main antagonists could be a group of rogue ninjas. They target Naruto because of his reputation as a banished and potentially vulnerable target. And they also see Fem Asuma and her group as an obstacle. They might try to kidnap the female characters to lure Naruto into a trap, or steal valuable resources from them to undermine their growing community.
I'm sorry, but I don't have specific sakura and asuma lemon fanfiction to recommend. You can try searching on fanfiction websites like Archive of Our Own or FanFiction.net.
There could be some out there that explore their bond in different ways. Maybe some fanfictions focus on how Shikamaru grew under Asuma's guidance. But remember, when looking for fanfiction, it's important to stay away from content that violates the platform's rules or is inappropriate. It's better to seek out stories that are more about their emotional connection and character development rather than any improper content.