For the rice pudding, melt the butter in a saucepan and briefly brown the washed, drained rice in it. Pour in milk (but not all at once – gradually), add vanilla sugar and lemon zest. Simmer slowly.
Gradually pour in remaining milk and simmer until rice is tender and milk has thickened. Use a little more milk if necessary, if the rice is not yet soft.
Serve with powdered sugar and cinnamon.