Society of Jesus | Royal Society | National Geographic Society | American Cancer Society | Royal Television Society | American Physical Society | American Chemical Society | International Society for Krishna Consciousness | Fellow | American Society of Civil Engineers | Royal Society of Canada | Royal Geographical Society | American Philosophical Society | Theosophical Society | Royal Society of Edinburgh | Society of Antiquaries of London | Society of the Cincinnati | Society for the Prevention of Cruelty to Animals | Justice Society of America | American Mathematical Society | Royal Aeronautical Society | National Honor Society | Black Label Society | Students for a Democratic Society | society | Royal Society of Arts | secret society | Royal Dublin Society | Royal Astronomical Society | London Missionary Society |
Bigsby was awarded an honorary LLD by the University of Glasgow, became a member of several foreign literary societies, was voted a Fellow of the Society of Antiquaries and in 1837 a Fellow of the Royal Society (although ejected in 1845 for non-payment) and became secretary and registrar of the English "Langue" of the Knights Hospitaller.
He was also elected a member of the Society of Antiquaries at Cortona on 29 August 1760, was admitted a fellow of the Royal Society of London on 18 February 1762, became an honorary fellow of the Society of Antiquaries of Cassel in November 1778, and of the Society of Antiquaries of Scotland in 1781.