In a large, heavy saucepan, combine rice, milk, sugar and salt. Bring just to a boil, stirring often.
Reduce heat to very low, add raisins, cover and simmer very gently, stirring occasionally, for about 50 minutes or until rice is very tender and pudding is thickened and creamy (it will thicken more as it cools).
Stir in vanilla.
Remove from heat and let stand, uncovered until just warm, stirring occasionally (pudding may also be served cold).
Transfer to dessert dishes and sprinkle with cinnamon.