[5] He went on to hold the same post with the Haberdashers' Company, the London and County Bank, the Thames Tunnel, the Victoria Life Office and the Chelsea waterworks.

[3] In 1834 he built a "receiving house" – a first-aid post for people rescued from the water – by the Serpentine in Hyde Park for the Royal Humane Society.

[9] Among the last works he did in private practice, before taking up his appointment with the Corporation of the City of London were the towers and parts of the approaches for Brunel's Hungerford Suspension Bridge.

[1] In this role he built the Coal Exchange in Thames Street (1849); the City Prison at Holloway,[10] its front and gateway a ragstone imitation of Warwick Castle;[11] Billingsgate Market (1853), in red brick and stone, in an Italianate style, with a central campanile; the Freemens' Orphans' Schools in Brixton, also Italianate and in red brick and stone (1852–54), and the Metropolitan Cattle Market in Islington, opened in 1855.

The central clock tower, in what is now Caledonian Park, and two sets of railings are all that remain following the market’s closure and demolition in the early 1960s.

[12][13] In 1856, he built two law courts at the Guildhall, and in 1858 began the complete reconstruction of Newgate prison, leaving only George Dance's outer walls intact.

[3] Thomas Leverton Donaldson, paying tribute to Bunning shortly after his death, said "Not content with the mere routine of official duty (which however he carried out zealously and with stern integrity), he had higher aims, and with an earnestness beyond all praise he directed his efforts to give his buildings for the city the stamp of a monumental character, worthy of the corporate body whom he represented", and called the central hall of Bunning's Coal Exchange "a grand feature, recalling the sentiment of an antique Roman building.