Alcohol free. For example, a virgin margarita is one prepared without tequila or liqueurs. Usually applied to drinks prepared for children or teetotallers that are usually alcoholic beverages - you won't hear anyone calling a bottle of 7-Up virgin, even though it is also non-alcoholic.

Also, someone who has never had sex. In women, this is traditionally associated with having an unbroken hymen.

Also, anything pure and unsullied. Snow with no footprints in it is called virgin snow, for instance.