Forget the Hurricane. The Sazerac is what you should drink in New Orleans. One of America’s earliest cocktails, the Sazerac is a homegrown New Orleans specialty. Peychaud’s bitters are a key element and were created by Antoine Peychaud, a French Quarter pharmacist, who invented the cocktail in the 1830s. The Sazerac was originally made with cognac, but an insect epidemic destroyed many French vineyards and resulted in the lasting switch to rye whiskey.