In a mixing bowl, combine softened cream cheese and butter.
Beat the mixture on medium speed until creamy and smooth.
Gradually sift in the powdered sugar and cocoa powder.
Continue to beat until fully incorporated.
Add vanilla extract for flavor.
Mix on low speed to avoid a sugar cloud.
If the frosting is too thick, add milk one tablespoon at a time.
Beat until the desired consistency is achieved.
Taste and adjust sweetness or chocolate flavor as needed.
Use immediately or store in the refrigerator until ready to use.