Well, he might have enhanced magical abilities. The griffin is a powerful and majestic creature, so the wand could give him unique powers, like better control over transfiguration spells.
Voldemort could still be the main antagonist. Even with a new wand, Harry is still a threat to him, and Voldemort would be eager to get his hands on such a unique and powerful wand.
Well, in many fanfictions where Harry Potter gets a Griffin wand, it often changes his magical abilities. The Griffin is associated with certain traits like courage and leadership in the wizarding world's lore. So, his spells might be more powerful and his connection to certain magical forces could be enhanced. It could also lead to new friendships or rivalries as others in the wizarding community react to his new wand.
Maybe it's an old wandmaker from a far - off land. This wandmaker has been crafting wands for centuries and has a unique intuition about which wands are meant for which wizards. He sees something special in Harry and presents him with a new wand.
There's a chance that the maker is a new character, an old hermit wizard who lives deep in the Forbidden Forest. He has been observing Harry from afar and realizes that the wands available in the regular market are not sufficient for him. So, he uses his knowledge of forgotten magics to craft a custom wand just for Harry.
In the 'Harry Potter gets a second wand fanfiction', it could change his relationships too. His friends might be both amazed and a bit worried. Hermione would probably be eager to study the implications of having two wands. Ron might be a bit jealous at first. And Harry himself would need to learn how to balance the power of two wands, which could be a real struggle, both physically and mentally, as different wands have different 'personalities' and he'd have to master them both.
Perhaps in this fanfiction, the custom wand is created by a very eccentric wand - maker. This wand - maker could have some strange ideas and methods. The wand could be designed to work in harmony with Harry's emotions. So when he's feeling angry, it might produce a more powerful spell, and when he's calm, it could be more precise. This would add a new dimension to Harry's magical abilities and how he uses them in different situations.
Well, he could end up with a wand that has a much darker origin. This could lead to other wizards being suspicious of him. His relationships with his friends might change too. Hermione might be more cautious around him, and Ron could be a bit more distant. Also, his dueling abilities would be completely different. He might struggle at first to adapt to the new wand's unique way of channeling magic, which could put him at a disadvantage in battles against Voldemort and his Death Eaters.
In the 'Harry Potter gets a new wand fanfiction', Harry getting a new wand could lead to a whole new set of adventures. He might have to go through a series of trials to fully bond with the wand. The wand could also have a mind of its own, guiding Harry towards certain magical discoveries that were previously unknown. It could also attract unwanted attention from dark wizards who are jealous of its power.