Preheat the oven to 325°F (160°C). In a bowl, combine graham cracker crumbs, 0.25 cups sugar, and melted butter. Press this mixture firmly into the bottom of a 9-inch springform pan to form the crust.
In a large mixing bowl, beat the cream cheese until smooth. Gradually add coconut milk and 0.75 cups sugar, mixing well.
Add eggs one at a time, beating well after each addition. Stir in vanilla extract until fully combined.
Pour the filling over the crust in the springform pan. Bake for 50 minutes or until the center is set but still slightly jiggly.
Remove from oven and sprinkle shredded coconut on top. Let cheesecake cool to room temperature, then refrigerate for at least 4 hours before serving.
Notes
For best results, use full-fat coconut milk and chill the cheesecake overnight for a creamier texture.