String Quartets Opp. 1, 2, 9, 17, 20, 33, 42, 50, 51, 54, 55, 64, 71, 74, 76, 77, & 103.

Joseph Haydn, the father of string quartet, wrote 68 quartets, arranged by their opus numbers between 1755 and 1803. The medium consists of four string instruments: two violins, a viola, and a violincello. He established the formal conventions and aesthetic values of the string quartets that gained them a special status and compositional significance in the Western musical culture. The German poet, Goethe, described the quartet in terms of a musical conversation among four rational people conversing among themselves. The Quartets are arbitrarily divided as the Early Quartets Nos. 1 – 35 (Opus 1 – 42; 1755 – 1785), Middle Quartets Nos. 36 – 59 (Opus 50 – 74; 1787 – 1793), and the Late Quartets Nos. 60 – 83 (Opus 76 – 103; 1797 – 1803). The first complete set was recorded by the Tatrai Quartet for Hungaroton from 1946 to 1984.  

Here is one set and a few separate albums:

Haydn The Complete String Quartets. The Angeles String Quartet. Release Date: 9 Apr 2012. Label: Decca.

Haydn ‘Sun’ Quartets Op. 20 Nos 4 - 6. Chiaroscuro Quartet. Release Date: 30 Jun 2017. Label: BIS.

Haydn String Quartets Op. 42, Op. 77 Nos. 1 – 2 & Op. 103. Takacs Quartet. Release Date: 2 Sept 2022. Label: Hyperion.

Haydn String Quartets Volume 2, Op. 20 No. 5, Op. 33 No. 3 & Op. 76 No. 5. Jerusalem Quartet. Release Date: 28 Mar 2010. Label: Harmonia Mundi.

Haydn String Quartets Op. 64 Nos 1 - 6. The London Haydn Quartet. Release Date: 2 Nov 2018. Label: Hyperion.

​Haydn String Quartets, All Shall Not Die. Op. 20 No. 5, Op. 33 No. 5, Op. 50 No. 6, Op. 53 No. 2, Op. 76 No. 2, Op. 77 No. 2. Quatuor Hanson. Release Date: 11 Oct 2019. Label: Aparte. 

Reference: Knudson, A. (2024). The Father of the String Quartet. Boise State University. https://www.boisestate.edu/presidents-writing-awards/the-father-of-the-string-quartet/