For Harry, his friends in Gryffindor could be a bit confused at first. They know Draco is not exactly a friendly character. But overall, it could lead to a more united front against real threats in Hogwarts. The teachers might also take notice. Dumbledore, for instance, would probably be proud of Harry for showing such selfless courage, regardless of who he was saving.
Harry may save Draco from Buckbeak simply because he is a good person at heart. He has always been against unnecessary harm, and seeing Draco in danger from Buckbeak, his instincts would be to help. It could also be that the author wants to explore a different side of their relationship, where Harry's compassion overcomes their rivalry, and this event becomes a turning point in how they interact with each other in the fanfic world.
Well, perhaps Harry uses his quick thinking and his knowledge of magical creatures. He might step in just in time, using a spell to distract Buckbeak before it can harm Draco. For example, he could use a simple levitation spell to lift a small object and draw Buckbeak's attention away from Draco.
Well, perhaps in this fanfic, Harry notices Draco in a dangerous situation with Buckbeak. Maybe Draco was taunting Buckbeak and it got out of hand. Harry, being the brave one, steps in and uses his skills with magical creatures to calm Buckbeak down just in time to save Draco from getting seriously hurt.
At first, it might be a bit tentative. Harry has to earn Buckbeak's trust, just like in the original story. But as time goes on, they start to understand each other better. Buckbeak realizes Harry is different from other humans who might harm him, and Harry sees Buckbeak as more than just a magical creature.
One common theme is freedom. Both Buckbeak and Sirius have been wronged and are in a fight for their freedom. In many fanfictions, they help each other achieve that freedom, whether it's Sirius using Buckbeak to escape or Buckbeak being freed with Sirius' help.
One great Buckbeak and Sirius fanfiction is 'The Flight of Freedom'. It imagines Sirius bonding with Buckbeak during his time on the run. It beautifully depicts how Buckbeak could sense Sirius' innocence and loyalty, and they form an unbreakable bond as they evade the Ministry's capture. It's full of adventure and heartwarming moments.
One interesting 'Harry and Hermione Buckbeak' fanfiction could be where they take Buckbeak on a secret adventure through the Forbidden Forest. They might discover new magical creatures and have to rely on Buckbeak's strength and their own wits to get out of tricky situations.
One interesting story could be where Hermione takes it upon herself to study Buckbeak's unique behaviors more closely in Hogwarts. She might discover new magical aspects related to his species.