The Gianellis used to be called "Bigios" but after the death of Don Maurice "Butcher" Bigio in 2070 control of the family was given to Joseph Gianelli who reorganized and renamed the family. Like the other two families, the Gianellis are a mostly human crime family.
The Gianelli family has its territory in the districts of Puyallup, Tacoma, and Auburn in the southern part of the metroplex. They are attempting to rebuild the family's operations. The family is into piracy in the Puget Sound, hijacking shipments in route to the docks in Tacoma. They are also involved in loan-sharking, smuggling, and the fencing of stolen goods. Despite the resistance of the old guard the current don is following Rowena O'Malley's lead by recruiting magicians, hackers, and metahumans.
Gianelli is recruiting from the gangs in the Redmond Barrens district in an attempt to rebuild the strength of the family. Through their control of the "Hollywood Simsense Entertainment" company, they are producing and distributing BTLs (including porn and snuff films). The use runaway kids and the kids from the street for their porn and snuff. They are barely hanging on in the district of Puyallup.
Due to their connections to the UCAS military via Fort Lewis they have occasionally have access to military-grade cyberware, advanced weaponry, combat drugs, armor piercing ammunition, and high-grade armor. The family's enforcers rely on superior firepower to compensate for their low numbers, preferring hit-and-run strikes over drawn-out battles.
According to Runner Havens in 2070 the Gianellis operate in Seattle and their leader is Joseph Gianelli.
But Underworld Sourcebook (set in 2058) places them in Atlanta, CAS, and names their Don as Gerold Gianelli. There is shadowtalk about Gerold being very old with his son Harold as likely heir and cousin Leonard as possible rival but there is no mention of a "Joseph".
Maybe Joseph is either Harold's or Leonard's son and has become Don after his father's death and has moved the family to Seattle where they absorbed the Bigios.
Or maybe there are two Gianelli families - the "original" in Atlanta, led by Harold or Leonard, and a "spin-off" in Seattle led by Joseph.