Preheat oven to 325°F (163°C). Grease a 9-inch springform pan.
Mix graham cracker crumbs, sugar, and melted butter in a bowl. Press mixture into the bottom of the pan to form the crust.
In a large bowl, beat cream cheese and sugar until smooth. Add eggs one at a time, beating well after each addition. Stir in vanilla extract.
Pour filling over the crust in the pan.
In a saucepan, combine raspberries, sugar, and lemon juice. Cook over medium heat until raspberries break down and mixture thickens. Strain to remove seeds.
Drop spoonfuls of raspberry sauce on top of the cheesecake filling. Use a knife to swirl the sauce into the filling.
Bake for 55-60 minutes, or until the center is set. Let cool, then refrigerate for at least 4 hours before serving.