As Edwin said, all SS is food safe. The most commonly used are:
Type 304
The most common of austenitic grades, containing approximately 18% chromium and 8% nickel. It is used for chemical processing equipment, for food, dairy, and beverage industries, for heat exchangers, and for the milder chemicals.
Type 316
Contains 16% to 18% chromium and 11% to 14% nickel. It also has molybdenum added to the nickel and chrome of the 304. The molybdenum is used to control pit type attack. Type 316 is used in chemical processing, the pulp and paper industry, for food and beverage processing and dispensing and in the more corrosive environments. The molybdenum must be a minimum of 2%.
Type 414
Has nickel added (2%) for improved corrosion resistance. Typical applications include springs and cuttlery.
Type 430
The basic ferritic grade, with a little less corrosion resistance than Type
304. This type combines high resistance to such corrosives as nitric acid, sulfur gases, and many organic and food acids.