Common cocktail names and symbolisms are as follows:

1. Martini.

The Martini cocktail, is a gin-based cocktail with dry flavored liqueurs and citrus spirits. The name comes from the cities of Martini and Nicolòm, suggesting a wonderful pairing of two different alcohols mixed together.

2,Daiquiri.

The Daiquiri, is a brandy-based cocktail with lemon juice and syrup. The name comes from the name of a small town in Cuba, suggesting tropical flavor and relaxation.

3. Margarita.

The Margarita is a tequila-based cocktail with lemon juice and triple-flavored liqueur. The name comes from the Spanish word for "pearl," which means beautiful, precious and noble.

4. Sidecar.

The Sidecar is a brandy-based cocktail with lemon juice and orange-flavored liqueur. The name comes from a type of motorcycle sidecar, suggesting style, panache and freedom.

5. Manhattan.

The Manhattan, a whiskey-based cocktail with port and vermouth. The name comes from the Manhattan district of New York City in the United States, suggesting urban prosperity and nobility.