Breaking and entering or burglary was a crime whereby someone gained unlawful access to another's property and after doing so, entered. Such an event was called a break-in.
In 1996, Rain Robinson, upon finding Tom Paris tinkering with the stereo from her van, sarcastically remarked, "Let me guess. Someone broke into the van last night while I was sleeping, tried to snatch the stereo, you bravely fought them off and now you're repairing the damage." (VOY: "Future's End")
In 2151, Jonathan Archer expressed his dismay that after traveling seventy-eight light years to get to the Akaali homeworld, their first act was breaking and entering. (ENT: "Civilization")
Lieutenant Colonel Fellini accused James T. Kirk of the crimes of burglary, sabotage, espionage and unauthorized entry in 1969. (TOS: "Tomorrow is Yesterday")
In 2369, Deep Space 9 had been experiencing a rash of break-ins. (DS9: "Emissary")
In 2370, Deep Space 9's crew was unable to find any evidence that the station's science lab had been broken in to, as the security seal remained intact. (DS9: "The Alternate")
In 2371, Neelix reported that someone had broken into his kitchen and stolen food. He thought that Seska was responsible. (VOY: "State of Flux")
In their search for Elias Giger in 2373, Jake Sisko and Nog implicitly accused Kai Winn of burglary and kidnapping Giger. (DS9: "In the Cards")
In 2365, two Ferengi attempted to break into Fort Knox. As of 2375, to Tom Paris's knowledge, nobody had ever been successful in this endeavor. (VOY: "Dark Frontier")