The popularity of cocktails can vary based on regions, trends, and personal preferences. However, several cocktails have gained widespread popularity across the globe due to their classic appeal and delicious taste. Here are some of the most popular cocktails that are commonly enjoyed:

1. Margarita: A tangy and refreshing cocktail made with tequila, orange liqueur (usually Triple Sec or Cointreau), lime juice, and often served with a salted rim.
   
   
2. Martini: A classic cocktail made with gin or vodka and dry vermouth, typically garnished with an olive or a twist of lemon. Variations include the classic gin or vodka martini and the dirty martini (with olive brine).
   
   
3. Old Fashioned: A timeless cocktail consisting of bourbon or rye whiskey, sugar, Angostura bitters, and an orange twist or cherry as a garnish.
   
   
4. Mojito: A popular rum-based cocktail originating from Cuba, made with white rum, fresh mint leaves, lime juice, sugar, and soda water, served over ice.
   
   
5. Cosmopolitan (Cosmo): A vodka-based cocktail made with vodka, cranberry juice, triple sec, and freshly squeezed lime juice. It’s known for its pink hue and tart flavour.
   
   
6. Daiquiri: A simple yet delightful cocktail made with white rum, lime juice, and simple syrup. It comes in various flavors, including strawberry and banana.
   
   
7. Moscow Mule: Comprising vodka, ginger beer, and lime juice, served in a copper mug with ice. It’s known for its refreshing and slightly spicy taste.
   
   
8. Pina Colada: A tropical cocktail made with rum, coconut cream, pineapple juice, and often served blended with ice, creating a creamy and fruity drink.
   
   
9. Negroni: A sophisticated cocktail made with equal parts gin, Campari, and sweet vermouth, usually garnished with an orange peel.
   
   
10. Whiskey Sour: A classic cocktail containing whiskey (bourbon or rye), fresh lemon juice, simple syrup, and often garnished with a cherry or an orange slice.

These cocktails have stood the test of time due to their unique flavours, balance, and versatility. They remain favourites in bars, restaurants, and homes around the world, often enjoyed for their distinctive tastes and the artistry involved in their preparation.