Medusa can be incorporated as a dark magic - created being. Maybe some dark wizard in the past tried to create a powerful weapon and ended up with a Medusa - like entity. In fanfiction, this could be the start of a new adventure for Harry and his friends as they try to stop this entity from causing chaos in the wizarding world.
In fanfiction, a Pegasus could be a symbol of great power or prophecy. It could be foretold that only a chosen wizard can tame a particular Pegasus, and this wizard will then be able to use the Pegasus's power to defeat a great evil that threatens the wizarding world. This would create an exciting plotline full of mystery and adventure.
Kirin could be incorporated by being a guardian of a hidden magical artifact in the Harry Potter universe. This artifact could be something that has the power to change the balance of magic. Harry and his friends might stumble upon the Kirin while searching for the artifact, and they have to earn the Kirin's trust to gain access to the powerful item.
It could be a magical item with a mind of its own. In fanfiction, the Blue Scarab might choose Harry as its owner and guide him through a series of challenges. It could have the ability to transform into different forms, like a key to open secret passages or a shield to protect Harry from dark spells. This would add an interesting dynamic to the story as Harry has to learn to communicate and work with this strange new entity.
The Crimson Dragon can be a protector of a hidden magical artifact in the Harry Potter fanfiction. For instance, it could guard the Philosopher's Stone in a more complex and dangerous way than Fluffy did in the original story.
Valyrian Steel could be part of an ancient prophecy in the Harry Potter fanfiction. Maybe it's said that only a wizard with a pure heart and a connection to the founders can wield a weapon made of Valyrian Steel. Harry, being the hero, is destined to find and use it to defeat the ultimate evil. It could also be that the Valyrian Steel is hidden in a different magical realm that Harry has to travel to, which would introduce new and exciting settings into the fanfiction.
It could be incorporated as a new magical artifact. Maybe a wizard from a far - off land brings it to Hogwarts. Then, the characters in Harry Potter would have to figure out how to use or contain its power.
An ice elemental can be added as a new type of magical creature. It could live in the coldest parts of the wizarding world, like the far reaches of the Scottish Highlands. In fanfiction, it could be that only the most powerful wizards can communicate with ice elementals. For example, Dumbledore might have had a connection with them in his youth.
A succubus familiar can be incorporated by first establishing its magical nature. For example, it could have powers related to charm and allure, which are common traits of succubi. In a fanfiction, it might be a familiar that a dark wizard or an outcast wizard has. The succubus familiar could use its charm to help its master in various ways, like getting information from other characters or sneaking into restricted areas.
Jean Grey's telepathy can be used to read the minds of wizards and witches. In the 'Harry Potter' universe, this could be a huge advantage. For instance, she could easily figure out the plans of Death Eaters or other dark wizards.
The powers of Greek gods could be incorporated by having characters inherit some of those powers. For instance, a wizard might gain the ability to control the weather like Zeus. This would create a new type of magic in the Harry Potter universe.