Preheat your oven to 325°F (160°C).
Prepare the crust: In a medium bowl, combine graham cracker crumbs, melted butter, and 1/4 cup of the sugar. Mix well.
Press the mixture firmly into the bottom of a 9-inch springform pan to form a crust.
In a large mixing bowl, beat the softened cream cheese until smooth and creamy.
Gradually add the remaining 3/4 cup of sugar, apple cider, eggs, vanilla, cinnamon, and nutmeg while continuing to beat on medium speed until well combined.
Fold in the sour cream gently until just combined.
Pour the filling into the prepared crust. Bake for 50 to 60 minutes until set with a slight jiggle in the center.
Turn off the oven, crack the door, and let the cheesecake cool in the oven for an hour.
Remove from the oven and allow it to cool at room temperature before refrigerating for at least 4 hours or overnight.
Once chilled, remove the sides of the springform pan, slice, and serve garnished with a drizzle of apple cider reduction or whipped cream if desired.