In a medium-sized mixing bowl, combine the graham cracker crumbs with the melted unsalted butter. Stir until the crumbs are thoroughly coated with butter. Firmly press this mixture into the bottom of a 9-inch springform pan to create an even and solid crust. Set aside to firm up.
In a large mixing bowl, use an electric mixer to beat the softened cream cheese until smooth and creamy. Gradually add in the Nutella, powdered sugar, and vanilla extract, mixing until well combined with no lumps.
In a separate clean bowl, whip the heavy cream using an electric mixer until stiff peaks form. Gently fold the whipped cream into the Nutella and cream cheese mixture until fully incorporated, being careful not to deflate the whipped cream.
Carefully pour the Nutella filling over the prepared graham cracker crust, using a spatula to smooth the top evenly.
Cover the springform pan with plastic wrap and place it in the refrigerator to chill and set for at least 4 hours, preferably overnight.
Once set, remove the cheesecake from the refrigerator and carefully take it out of the springform pan. Sprinkle chocolate shavings on top and add a light dusting of flaky sea salt.
Slice the cheesecake into generous portions and serve chilled.