According to the `21′ Club cookbook, the original rice pudding recipe dates back to Prohibition when the menu at the restaurant was very limited (a few sandwiches, chicken hash, and rice pudding for dessert). Here’s the recipe from the cookbook.
3 c. whole milk
1 tsp. vanilla
1/2 tsp. ground cinnamon
3/4 c. uncooked white rice
1/4 c. raisins
1/2 c. [...]

This has been a long requested recipe that we are pleased to offer. We suggest using water polished rice if you have it available.

Here is an old favorite from the Famous New York 21 Club. I like to add a little fresh ground Nutmeg to mine right before serving it. You can find more of their recipes in The ‘21Cookbook.
1 qt. Milk
1 pint Heavy Cream
1/2 tsp. Salt
1 tsp. Vanilla
1 C. Sugar
3/4 C. Long Grained Rice
1 Egg Yolk
1 1/2 [...]