Preheat your oven to 325°F (160°C). In a mixing bowl, combine graham cracker crumbs, granulated sugar, and melted butter until it resembles wet sand. Press this mixture firmly into the bottom of a 9-inch springform pan, ensuring an even layer. Bake for 8-10 minutes until lightly golden, then remove from the oven to cool.

In a large mixing bowl, beat the softened cream cheese and granulated sugar with an electric mixer on medium speed until creamy, about 2-3 minutes. Add the sour cream and vanilla extract, mixing until smooth. Crack in the eggs one at a time, mixing well after each addition. Pour in the cream soda and blend until fully incorporated.

In a medium saucepan over medium heat, combine the heavy cream, brown sugar, and unsalted butter. Cook while stirring frequently until it thickens slightly, about 5-7 minutes. Once thick, divide into separate bowls and use gel food coloring to tint each one to represent the four Hogwarts houses.

Pour the prepared cheesecake batter over the cooled crust. Drizzle the colorful butterbeer mixtures over the cheesecake batter, using a toothpick or knife to swirl them together for a marbled effect. Bake for 50-60 minutes, until the center jiggles slightly but is mostly set.

Turn off the oven and leave the cheesecake inside with the door slightly ajar for 1 hour to cool gradually. Afterward, transfer to the refrigerator to chill for at least 4 hours or overnight. When ready to serve, remove from the springform pan, decorate with extra swirls, and sprinkle with edible glitter.