What cocktails use vodka and lime juice?

The Moscow Mule (vodka, lime, ginger beer), Vodka Gimlet (vodka, lime, sugar), and Cosmopolitan (vodka, lime, Cointreau, cranberry). All built around the vodka-lime base.

Vodka and lime is one of the most-used base pairs in modern cocktails because vodka adds strength without adding flavor — the lime is allowed to dominate. Top three classics: (1) Moscow Mule — 2 oz vodka, 0.5 oz fresh lime juice, 4 oz spicy ginger beer over crushed ice in a copper mug. (2) Vodka Gimlet — 2 oz vodka, 0.75 oz fresh lime juice, 0.75 oz simple syrup (or use Rose's lime cordial for the traditional 'cordial gimlet'), shaken and served up. (3) Cosmopolitan — 1.5 oz citron vodka, 1 oz Cointreau, 0.5 oz fresh lime juice, 0.5 oz fresh cranberry juice, shaken. The vodka-lime-ginger beer template scales to other 'mules' with bourbon, tequila, or gin substituting for vodka; the vodka-lime-Cointreau template scales to the Lemon Drop with lemon and the Kamikaze with equal parts.