Preheat the oven to 325°F (160°C).
Prepare the crust by combining cookie crumbs and melted butter in a bowl.
Press the crust mixture into the bottom of a 9-inch springform pan.
Bake the crust for 10 minutes, then remove and let cool.
In a large bowl, beat the softened cream cheese until smooth.
Gradually add the granulated sugar and beat until well combined.
Add eggs one at a time, mixing on low speed after each addition.
Mix in the vanilla extract until smooth, then gently fold in the raspberries and chocolate chips.
Pour the cheesecake filling over the cooled crust evenly.
Bake in the preheated oven for 55-60 minutes or until the center is set but slightly jiggly.
Turn off the oven and leave the cheesecake in the oven with the door ajar for 1 hour.
Remove from the oven and let cool to room temperature, then refrigerate for at least 4 hours or overnight.
Before serving, dust with powdered sugar, if desired.