Mischief

Mischief or malicious mischief is the specific name for different criminal offenses in a number of different jurisdictions. While the wrongful acts will often involve what is popularly described as vandalism, there can be a legal differentiation between the two. The etymology of the word comes from Old French "meschief", which means "misfortune", from "meschever", "to end badly".
Scotland.
Malicious mischief is an offence against the common law of Scotland. It does not require actual damage to property for the offence to be committed; financial damage consequential to the act is sufficient, unlike vandalism which requires actual damage to property to form the offence, the latter being defined by section 52 of the Criminal Law (Consolidation) (Scotland) Act 1995.
United States.
In United States criminal law, mischief is an offense against property that does not involve conversion. It typically involves any damage, defacement, alteration, or destruction of property. Common forms include vandalism, graffiti (which can result in additional penalties), or some other destruction or defacement of property other than arson. Governed by state law, criminal mischief is committed when a perpetrator, having no right to do so nor any reasonable ground to believe that he/she has such right, intentionally or recklessly damages property of another person, intentionally participates in the destruction of property of another person, or participates in the reckless damage or destruction of property of another person.
Canada.
The country's Criminal Code makes a hybrid offence, punishable by up to and including life imprisonment if the mischief causes actual danger to human life. Public mischief is the term for the crime of wasting police time.