Rinse the rice, bring to a boil with the water, and cook over low heat for 10-12 minutes until most of the water is absorbed.
Pour in the milk and cook over low heat, stirring often, for 20 minutes until the rice is completely soft.
Add the sugar and vanilla sugar, then the rice flour mixed smooth with the cold milk, and cook, stirring constantly, for 5 minutes until creamy and thickened.
Preheat the oven's grill (or top heat to 220 °C). Spoon the pudding into heatproof ramekins.
Place the ramekins in a baking tray filled halfway with cold water, and bake on the top rack for 10-15 minutes until mottled brown on top.
Cool to room temperature, then chill for at least 3 hours. Sprinkle with cinnamon and serve cold.
A Receptnaptár original recipe. Calories and protein are estimated.
Tips
The water bath protects the pudding from overcooking underneath, so only the top browns.