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.
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In 1767 Jackson wrote the music for an adaptation of Milton's Lycidas, which was produced at Covent Garden on 4 November of the same year, on the occasion of the death of Prince Edward, Duke of York and Albany, brother to George III.
Milton's 1645 Poems is a collection, divided into separate English and Latin sections, of the poet's youthful poetry in a variety of genres, including such notable works as An Ode on the Morning of Christ's Nativity, Comus, and Lycidas.