Leave the cream cheese at room temperature to soften.
Add sugar to the cream cheese and mix well.
Add eggs one at a time, mixing thoroughly after each addition.
Add cake flour and vanilla extract, then mix.
Pour in melted butter and milk, and blend until smooth.
Pour the batter into a cake pan.
Bake in a 180°C oven for 40 to 50 minutes.
After cooling, chill in the refrigerator.