A cocktail worthy of Fred Astaire -- honeydew, lime juice, mint, and vodka, whirred in a blender and poured over crushed ice.
Place melon, lime juice, mint, sugar, and vodka in a bar blender. Blend until smooth, about 45 seconds. Pour through a cheesecloth-lined strainer into a pitcher.
Place ice in 12-ounce glasses; pour liquid over ice. Swizzle and serve.
Substitute gin, white rum, or even champagne for the vodka if desired.