Yes. Gin is one of the most used spirits or cocktail base. Thus, there are a number of cocktails with gin. There's the classic Martini and Vesper, the tempting French 75 and Long Island Iced Tea or the aesthetic Inverted Traffic Light.
You can make a quite number of cocktails with a Vodka. Perhaps two of the most popular Vodka cocktails is the "stirred not shaken" drink of James Bond, the Martini and Vesper.