Preheat your oven to 325°F (160°C). In a mixing bowl, combine the graham cracker crumbs, granulated sugar, and melted unsalted butter until the mixture resembles wet sand. Firmly press this mixture into the bottom of a greased springform pan, creating an even layer. Bake for 8-10 minutes until slightly golden, then allow it to cool completely.

In a large mixing bowl, use a hand mixer to beat softened cream cheese and granulated sugar until smooth and creamy, about 2-3 minutes. Next, add in the vanilla extract, cream soda, and butterscotch syrup. Mix until fully combined. Then, incorporate the eggs one at a time, mixing gently to prevent overmixing, and pour the filling over the cooled crust.

Take a large baking dish and fill it with hot water halfway up the sides. Carefully place your springform pan with the cheesecake filling inside this water bath. Bake the Butterbeer Galaxy Swirl Cheesecake for 55-65 minutes, watching for the edges to set while the center still has a slight jiggle. When done, turn off the oven and leave the door ajar to cool for about an hour.

Once cooled, carefully remove the cheesecake from the water bath and refrigerate for at least 4 hours, though overnight is preferred for the best texture and flavor development. This chilling process allows the cheesecake to firm up beautifully, making it easier to slice and serve later.

In a microwave-safe bowl, melt the white chocolate chips in 30-second intervals, stirring well between each until smooth. Divide the melted chocolate into three separate bowls, and tint each with gel food coloring to create vibrant blue, purple, and black shades.

Drizzle the tinted white chocolate over the chilled cheesecake, creating beautiful patterns. Use a toothpick to gently swirl the colors together, forming a stunning galaxy effect. Be creative and let your imagination shine through the designs you create on top of the cheesecake.

Sprinkle edible glitter or luster dust over the top of the cheesecake for an enchanting finish. Carefully remove the springform pan and use a warm knife to slice the cheesecake, ensuring clean edges. If desired, decorate with whipped cream or edible stars before serving to elevate the festive look of your Butterbeer Galaxy Swirl Cheesecake.