Clean Ocean And Safe Tourism Anti-Drilling Act or the COAST Anti-Drilling Act This bill prohibits the Department of the Interior from authorizing the exploration, development, or production (i.e., offshore drilling) of oil, natural gas, or other minerals in areas of the Outer Continental Shelf along the Atlantic Coast. Specifically, the prohibition applies to the Mid-Atlantic planning area, the South Atlantic planning area, the North Atlantic planning area, and the Straits of Florida.