In the best known of his catches[clarification needed] he ridiculed Sir John Hawkins' History of Music.
They include (selective list): A number of his glees specify two soprano or treble (boy soprano) voices, the second of which has a range appropriate to a female mezzo-soprano or contralto (but would have been thought too high for a counter-tenor of this period).
Callcott also composed solo songs and religious music including psalms and sacred canons.
Callcott's daughter Elizabeth married William Horsley who, in 1824, published A collection of Glees Canons and Catches, an edition of his father-in-law's works together with a Memoir of Dr Callcott.
His brother Augustus Wall Callcott was a noted landscape painter.