Yes, there may be some out there in the vast realm of fan - created content. However, this kind of fanfic often goes against the original intention of the 'Harry Potter' series which focuses more on friendship, mentorship and the battle between good and evil. J.K. Rowling has not intended for such a relationship in her original work.
Well, the theme of discovery is quite popular. Harry and Hagrid are often on a journey of discovery in fanfics, whether it's about a new spell, a hidden place in Hogwarts, or a mysterious magical creature. Another theme is the protection that Hagrid offers to Harry. It's like Hagrid is Harry's shield in many of these stories. And the theme of growth, both Harry's growth as a wizard and Hagrid's growth as a more confident and respected figure in the wizarding world.
Sure. One great 'Harry Potter and Hagrid fanfic' is 'Hagrid's Hidden Tales'. It delves into Hagrid's backstory and his relationship with Harry in more depth. Another one is 'Adventures with Hagrid and Harry' which has some really exciting magical adventures that the two go on together. There's also 'Hagrid's Influence on Harry' which focuses on how Hagrid has shaped Harry's character throughout the series.
A really interesting plot could be a time - travel fanfic where Dobby, Hagrid and Harry Potter are sent back in time. They end up in the era when Hogwarts was first built. Dobby has to figure out how to blend in as a house - elf in this different time period, Hagrid is amazed by the primitive but still wonderful magical creatures, and Harry Potter has to deal with the fact that he might change the course of Hogwarts' history. They all work together to make sure that they return to their own time safely while also learning a great deal about the origins of Hogwarts.
It could involve Dobby helping Hagrid in some magical task on Hogwarts grounds. Maybe Dobby uses his unique house - elf magic to assist Hagrid with taking care of the magical creatures. For example, he could magically clean up the dragon's lair in a blink of an eye when Hagrid has trouble doing it the normal way.
I think it's an interesting but non - canon exploration. Fanfic allows for creative interpretations, but it can also be a bit odd when it goes against the established nature of the characters in the original work.
One interesting Hagrid fanfiction could be one that focuses on his early days at Hogwarts as a student. Maybe it delves into how he struggled with the academic side but excelled in Care of Magical Creatures even back then. Another could be a story where Hagrid goes on an adventure outside of Hogwarts, perhaps to find a new magical creature to bring back to the school. There are also fanfictions that might explore Hagrid's relationship with his family in more depth, like his giant relatives.
Friendship is a very common theme. Given Hagrid's role as a sort of father figure to Harry, many fanfictions explore the depth and growth of their friendship over the years. It's about how they support each other through difficult times at Hogwarts.
One possible reason could be that Sirius, being Harry's godfather, feels it's his right and duty to protect Harry. He might not trust Hagrid fully to keep Harry safe, especially considering the dangerous situation Harry is in. Sirius has a strong connection to Harry and wants to be directly involved in his upbringing and protection.
There are some fanfictions that delve into Hagrid's backstory and how it intersects with Harry's journey. For example, there might be stories where Hagrid's family history or his time at Hogwarts as a student is explored in relation to Harry's experiences. This can create really interesting storylines that give new perspectives on their relationship.