Preheat the oven to 325°F (163°C) and grease a 9-inch springform pan.
In a medium bowl, combine graham cracker crumbs, 0.25 cups of sugar, and melted butter until moistened.
Press the crumb mixture firmly into the bottom and 1 inch up the sides of the springform pan.
Bake the crust for 10 minutes, then remove from the oven and let cool completely.
In a large bowl, beat the softened cream cheese and remaining 1 cup of sugar until smooth and aerated.
Mix in the sour cream and vanilla extract until fully incorporated.
Add eggs one at a time, beating on low speed after each addition until just combined to avoid over-mixing.
Pour the cheesecake batter over the cooled crust and smooth the top with a spatula.
Bake for 55 to 65 minutes, or until the edges are set and the center still has a slight jiggle.
Turn off the oven and crack the door open, allowing the cheesecake to cool inside for 1 hour.
Remove from the oven and refrigerate for at least 6 hours, preferably overnight.
Spread the cherry pie filling evenly over the top of the chilled cheesecake before releasing the springform sides and serving.