In 1821 he published the first part of what was intended to be an extensive work, ‘General and Particular Descriptions of the Vertebrated Animals,’ with coloured plates.
Incomplete, it may have been abandoned in favour of his translation of Cuvier's ‘Animal Kingdom,’ with considerable additions, in fifteen volumes.
In addition to scientific works, Griffith published two others of a professional character.
The first was ‘A Collection of Ancient Records relating to the Borough of Huntingdon, with Observations illustrative of the History of Parliamentary Boroughs in General,’ London, 1827 [misprinted 1727], arising out of an election petition, and urging that the borough franchise rightly belonged to all burgesses or resident householders paying scot and lot, and not, as held by a parliamentary committee, to the corporation.
The other, published in 1831, is entitled "Cases of supposed Exemption from Poor Rates claimed on the ground of Extraparochiality, with a … Sketch of the Ancient History of the Parish of St. Andrew, Holborn".