Jackson composed the operas The Lord of the Manor (1780, libretto by John Burgoyne) and Metamorphoses (1783), as well as several odes (Warton's Ode to Fancy, Pope's The Dying Christian to His Soul, and Lycidas) and a large number of songs, canzonets, madrigals, pastorals, hymns, anthems, sonatas for harpsichord, and church services.