Preheat your oven to 325°F (163°C).
In a mixing bowl, combine the graham cracker crumbs, melted butter, and granulated sugar. Mix until well combined and resembles wet sand.
Press the crumb mixture firmly into the bottom of the springform pan to form the crust. Bake in the preheated oven for 10 minutes; remove and let cool.
In a large bowl, beat the softened cream cheese and peanut butter with an electric mixer until smooth and creamy, about 2-3 minutes.
Gradually add the powdered sugar and vanilla extract, mixing until well combined.
Add the eggs, one at a time, beating well after each addition until the mixture is smooth.
Pour the peanut butter filling over the cooled crust in the springform pan. Smooth the top with a spatula.
Bake in the oven for 50 minutes, or until the center is set but still slightly jiggly.
Remove the cheesecake from the oven and let it cool at room temperature for about 1 hour, then refrigerate for at least 4 hours or overnight.
Before serving, spread the grape jelly evenly over the top of the chilled cheesecake.
Carefully remove the sides of the springform pan and slice the cheesecake into 12 equal pieces.