Gibson

Technically, the Gibson is little more than a dry Martini garnished with pickled cocktail onions instead of a lemon twist (or olives). There can be deep debates as to if it indeed is a recipe needing a name of its own, or if it is in fact, just a Martini. Myself, I lean toward the idea that it is a recipe in its own right, if for no other reason then if a customer asked for a Martini, and you served it with cocktail onion as a garnish, they would feel that they indeed recieved the wrong drink. Likewise, if the customer asked for a Gibson, and you garnished the drink with anything except the cocktail onions, they would rightly question your abilities.

Gibson  

Garnish: Cocktail onion
Stir with ice. Strain into a cocktail glass.