[3] Following his retirement from the bench, Street became the chairman of Fairfax Media and a director of Banca Monte dei Paschi di Siena, the oldest bank in the world.

[7] His mother Jessie was a prominent suffragette, the daughter of Charles Alfred Gordon Lillingston, JP (great-grandson of Sir George Grey, 1st Baronet) and Mabel Harriet Ogilvie, who was in turn the daughter of Australian politician Edward David Stuart Ogilvie.

Sir Laurence's first wife was Susan Gai Watt, AM (formerly Lady Street; born 1932), who graduated from the University of New South Wales and was the first female chair of the Eastern Sydney Health Service.

[13] Sir Laurence's sister Philippa married the Australian Test cricketer Jack Fingleton, OBE.

Sylvia Emmett (née Street), AM is a federal judge and a lieutenant commander of the Royal Australian Naval Reserve.

Alexander "Sandy" Street, SC is also a federal judge and a commander of the Royal Australian Naval Reserve.

[17] In a eulogy before 700 attendees, Australian Prime Minister Malcolm Turnbull spoke of his mentor: "As a barrister, he was as eloquent as he was erudite, as formidable as he was fashionable […] Laurence had movie star good looks coupled with a charisma, charm and intellect, a humility, a humanity that swept all before him […] His nickname, 'Lorenzo the Magnificent', was well earned.

[19] Chief Justice of New South Wales Tom Bathurst remembered him as "one of the outstanding jurists of the 20th century.