1. Margarita - This classic cocktail is made with tequila, lime juice, and triple sec. It is typically served in a salt-rimmed glass and can be enjoyed on the rocks or blended with ice.

2. Martini - A martini is made with gin or vodka and vermouth, and is typically garnished with an olive or lemon twist. There are many variations of the martini, including the dirty martini (with olive brine) and the Gibson (with a cocktail onion).

3. Old Fashioned - This cocktail is made with whiskey, sugar, bitters, and a citrus peel. It is typically served on the rocks and can be garnished with a cherry and orange slice.

4. Manhattan - Made with whiskey, sweet vermouth, and bitters, the Manhattan is a classic cocktail that is typically served in a chilled glass and garnished with a cherry.

5. Daiquiri - This refreshing cocktail is made with rum, lime juice, and sugar. It can be served on the rocks or blended with ice, and is often garnished with a lime wedge.

6. Moscow Mule - Made with vodka, ginger beer, and lime juice, the Moscow Mule is a popular cocktail that is typically served in a copper mug. It can be garnished with a lime wedge and mint sprig.

7. Negroni - This cocktail is made with gin, Campari, and sweet vermouth. It is typically served on the rocks and garnished with an orange peel.

8. Mai Tai - Made with rum, orange curaçao, lime juice, and orgeat syrup, the Mai Tai is a tropical cocktail that is often garnished with a pineapple wedge and cherry.

9. Bloody Mary - This savory cocktail is made with vodka, tomato juice, Worcestershire sauce, hot sauce, and spices. It is typically served in a tall glass and garnished with celery, olives, and a lime wedge.

10. Cosmopolitan - Made with vodka, triple sec, cranberry juice, and lime juice, the Cosmopolitan is a popular cocktail that is typically served in a martini glass and garnished with a lime wedge.

References:

- https://www.liquor.com/top-100-cocktails/

- https://www.thespruceeats.com/top-10-classic-cocktails-759802

- https://www.townandcountrymag.com/leisure/drinks/g2311/best-cocktails/