Prepare the crust by mixing graham cracker crumbs, melted butter, and sugar until it resembles wet sand. Press into the bottom of a 9-inch springform pan.
Make the cheesecake filling by beating softened cream cheese, sugar, and vanilla extract until smooth. Add eggs one at a time, mixing well after each addition, then fold in sour cream.
Prepare the raspberry topping by mashing fresh raspberries and mixing with raspberry jam.
Assemble the cheesecake by pouring half of the batter over the crust, adding spoonfuls of raspberry jam, swirling it, then pouring the remaining batter on top.
Bake in a preheated oven at 325°F for 55-60 minutes until the center is set but slightly jiggly. Cool in the oven for 60 minutes, then refrigerate for at least 240 minutes.