What is tomato juice mixed with vodka called?

Vodka and Tomato Juice is the base for a Bloody Mary. Normally there are many other spices that can be mixed with it such as Tobasco, pepper, horseradish, Worcestershire sauce, lemon juice or consomme. There are also a variety of garnishes that people add such as celery stalks, lemons, olives or even shrimp.

There are about two hundred vodka and tomato juice cocktails. The most common is likely a Bloody Mary though.