Pour rice slowly into rapidly boiling, slightly salted water. Do not stir. Cover tightly and cook exactly 7 minutes. (Water will be absorbed and rice slightly under-done). Add milk and butter. Stir a little. Bring to a boil, cover, cook slowly over low flame for 1 hour.
Meanwhile, beat eggs, add sugar, raisins, and vanilla. Pour the mixture into the rice, stirring slowly until the rice starts to thicken.
Serve hot, warm or cold. Mix 3 TBSP sugar & 1 TBSP cinnamon and sprinkle evenly over top.