Yes, in some fanfictions, Harry Potter is depicted as the heir of Gryffindor. It adds an interesting twist to the original story. The connection to the Gryffindor sword becomes more profound as it is often a symbol of Gryffindor's legacy. In these fanfictions, Harry might discover hidden powers or a deeper understanding of his destiny through this new identity.
In some fanfictions, the sword is portrayed as having a sentient nature. It can communicate with the wielder, guiding them through difficult situations. For instance, it might give advice on how to defeat a powerful dark wizard.
The sword in fanfiction can also be a symbol of hope and courage in different ways than in the original books. Maybe it has the ability to glow brighter in the presence of true Gryffindors from other magical schools, uniting them in a time of great danger.
There could be the traditional Gryffindor characters like Harry Potter himself. He has a strong connection to the Sword of Gryffindor and might be a central figure in the fanfic.
In some 'the sword of gryffindor fanfic', there might be a plot where the sword is stolen and the characters have to go on a dangerous quest to retrieve it. They could face various magical creatures and dark wizards along the way. This kind of plot can add a lot of excitement and adventure to the story.
Obviously, Harry Potter would likely be one of the main characters. He has a strong connection to the Sword of Gryffindor in the original series, so in the fanfic, he'd probably play a central role. Hermione Granger could also be a main character, using her intelligence to uncover secrets about the sword. And Ron Weasley might be there too, providing his loyalty and courage.
Often, it could be a plot device. For example, it might be the key to unlocking an ancient mystery in the RWBY world. Since the Sword of Gryffindor only appears to those worthy in the Harry Potter series, in RWBY fanfic, it could be that only a truly noble character can access it. And when they do, it causes a stir in the RWBY world as it's an unknown and extremely powerful object.
A great one might be 'The Sword's Legacy'. In this fanfic, the Sword of Gryffindor passes on a special kind of magic to Neville Longbottom. Neville uses this new - found power to protect Hogwarts during a time when Harry is away on a secret mission. It's really exciting to see Neville in a new role with the help of the sword.
One possible plot twist could be that the sword has a hidden power that only activates when in the hands of a true Gryffindor with a specific intention, like uniting all the houses against a new, unexpected dark force. Another could be that the sword was actually created with a part of Godric Gryffindor's soul, similar to a Horcrux but in a positive way, and it gives the wielder special insights into Gryffindor's thoughts and strategies.