Mix cream cheese, chocolate-hazelnut spread, berry cream cheese, milk, and vanilla extract together in a bowl.
Pour melted butter into a shallow bowl.
Combine sugar and cinnamon in a separate shallow bowl.
Flatten bread slices out on a work surface. Spread cream cheese mixture over each slice. Roll up each slice. Dip rolls in melted butter; coat with cinnamon sugar. Arrange seam-side down in a baking dish.
Bake in the preheated oven until lightly golden, 15 to 20 minutes.