One possible plotline could be that the Doctor and Jack Harkness team up to save a planet from an unknown alien threat. They use their combined knowledge and skills to outwit the aliens.
There could be a lot of banter between them. Jack might make jokes about the Doctor's sometimes stuffy and proper behavior, while the Doctor would roll his eyes at Jack's more flirtatious and carefree attitude. But in serious situations, they would support each other. For instance, when facing a powerful enemy, the Doctor would use his strategic thinking and Jack would use his combat skills and charm to get out of difficult situations.
Perhaps they find themselves in a situation where they have to rescue a group of people trapped in a parallel universe. Jack's skills as a former Time Agent and the Doctor's ability to navigate difficult situations would be crucial in this rescue mission. It could also be a chance for them to learn more about each other's pasts and grow as characters.
One great 'jack harkness x reader fanfic' is 'A Journey with Jack' on FanFiction.net. It has a really engaging plot where the reader character gets involved in Jack's adventures across time and space. The writer does a wonderful job of capturing Jack's charm and charisma, making it a very immersive read.
You can start by looking on Archive of Our Own (AO3). It has a large collection of fanfictions, and you can easily search for 'Jack Harkness x Doctor' there. Another place could be Fanfiction.net, although the interface might not be as user - friendly as AO3. There are also some Doctor Who - specific fanfiction forums where you might find some great works about Jack and the Doctor.
Well, 'Journey with Jack and the Doctor' is a fanfiction that stands out. It has an engaging plot that keeps you hooked from start to finish. Then there's 'Jack and the Doctor: Parallel Paths' which is interesting because it shows how their paths cross in unexpected ways. Also, 'The Meeting of Two Legends' is a great read as it focuses on the first encounter between Jack and the Doctor and how it sets the tone for their future relationship.
They could meet during a time-traveling adventure gone wrong, getting stranded in the same era.
It's possible that their encounter would be a more serious and emotional one. Jack has seen a great deal of loss and the 13th Doctor also has her own emotional baggage. They could bond over shared experiences, like the loss of friends or the struggle to protect the universe. Jack might offer some unique perspectives based on his long life and the Doctor could in turn show him new ways of looking at things.
Archive of Our Own (AO3) is a great place to start. It has a large collection of fanfics in general, and there are many 'jack harkness x reader' ones. You can use the search function and filter by tags to find exactly what you're looking for.
One possible plotline could be that they meet during some sort of inter - galactic event. Maybe Gohan is there to protect Earth from a threat that also involves Blackfire's planet, and they end up having to work together. Along the way, they start to develop feelings for each other.
A plotline could involve Ayane being a mysterious figure who has some unique power. Naruto is intrigued by her and tries to get to know her better. As they interact more, they find themselves falling in love. Maybe there's also a villain who wants to use Ayane's power for evil, and Naruto has to protect her.