William Reeve (1757 – 22 June 1815) was an English theatre composer and organist.
Reeve was born in London. He initially studied to be a law stationer but abandoned his studies in order to study the organ with a Mr Richardson of St James's, Westminster. He became an organist in Totnes, Devon in 1781. In 1783 he returned to London to work for John Astley's equestrian theatre where he composed all-sung burlettas. He also composed stage works of various kinds for John Palmer's short-lived Royalty Theatre. All of his works were entirely sung as none of these non-patent houses were permitted to perform works with any spoken drama. Some of Reeve's pieces were revived at the patent theatres after the Royalty closed in 1788. Most notably, his ballet-pantomime Don Juan (1787) was incredibly popular and both Drury Lane and Covent Garden adopted it for their repertories.
In 1787 Reeve was elected to the Royal Society of Musicians and eventually served as the Governor of the organization in both 1794 and 1804. Reeve occasionally worked as an actor at the Haymarket company during the late 1780s and early 1790s. He also appeared in productions at Covent Garden for two seasons (1789–91), playing minor roles for £2 a week. In the autumn of 1791, Covent Garden's house composer, William Shield, left abruptly and Reeve took over the position for £4 a week. While there he completed Shield's score for the ballet-pantomime, Oscar and Malvina (1791) in addition to composing some of his own theater works. After Shield's return in 1792 Reeve became organist of St Martin Ludgate but continued as a freelance composer for London's patent and minor theatres. He also provided much rather facile music for the topical spectacles and pantomimes at Sadler's Wells. During Lent of 1794 he was engaged at the Lyceum Theatre for four nights a week, producing Mirth's Museum, a variety entertainment. He served a second term as Covent Garden's house composer during 1797–8 and began collaborating with other composers. In 1802 he wrote the music for Thomas John Dibdin's comic opera, Family Quarrels.