Fellow of Royal Society of London (1964)

Cheeseman was a Fellow of the Linnean Society of London, and the Zoological Society.

Fellow of the Royal Society of London (1992)

Honorary Fellow of the Royal Entomological Society of London.

Fellow of the Royal Society of London, (1853)

Fellow of the Society of Antiquaries of London, awarded 2009.

Fellow of the Royal Society of London (2000)

Honorary Fellow of the Society of Antiquaries of London (1965)

Fellow of The Linnean Society of London, 2006.

Fellow of the Zoological Society of London.