In a mixing bowl, whisk together the heavy cream, whole milk, and sugar until the sugar dissolves.
Add the softened cream cheese and vanilla extract. Blend until smooth and well combined.
Gently fold in the fresh raspberries and graham cracker crumbs.
Pour the mixture into an ice cream maker and churn according to the manufacturer’s instructions.
Once churned, transfer the ice cream to a freezer-safe container and freeze for at least 2 hours before serving.