Bassist Arvell Shaw was the longest-serving member of Louis Armstrong's All Stars. As well as picking his finest discs with Armstrong (including the big band recordings) in an interview recorded in 2001, he guides Alyn Shipton through his best work with Sidney Bechet, Teddy Wilson, Benny Goodman, and Earl Hines.

Barney Kessel is one of the most prolific recording artists in jazz, yet one of the least well-known names. Fellow guitarist John Etheridge delves into Kessel's extensive catalogue to explore his legacy and help Alyn Shipton suggest the essential Kessel recordings, including early efforts with Charlie Parker, his pioneering years with Oscar Peterson and his dazzling triumphs as a West Coast studio player.

Duke Ellington's biographer Harvey Cohen joins Alyn Shipton to select highlights from the 1920s and 30s recordings.

From the Cotton Club to national icon, author Harvey Cohen traces Ellington's finest output from the decade starting in 1928. He guides Alyn Shipton through jungle music, the first extended works and the finest Ducal small groups, as well as offering insights from his recent book 'Duke Ellington's America'.

PIanist Michael Garrick died in November 2011. In this archive interview, he joins Alyn Shipton to look back over a fifty year span of some of the finest big band and small group records in British jazz.

Whether inspired by Hobbits, Thomas Hardy or J M Barrie, Garrick's musical settings were some of the most imaginative and colourful in jazz. His music took inspiration from a huge variety of sources, ranging from Indian and Burmese music and literature to English folksongs and novels. A brilliant pianist, Garrick was also known for his pioneering work with Don Rendell and Ian Carr, for his poetry and jazz sessions, and for continuing to lead groups large and small against all commercial odds for over half a century.

Bassist Steve Swallow joins Alyn Shipton in front of an audience at the Cheltenham Jazz Festival.

A specialist on the electric bass, Swallow looks back at his early days on the acoustic instrument and talks about the wide variety of his work over a forty-year period.

Significant partnerships include reed-player Jimmy Giuffre, trumpeter Art Farmer, the Gary Burton Quartet (with whom Swallow came to England many times) and fellow-Cheltenham Jazz Festival star John Scofield.

Trombonist Al Grey (1925 - 2000) was one of the most distinctive soloists in big band jazz, working with many of the most famous swing orchestras. In an archive interview, recorded just before his death 11 years ago, Al selects his key recordings with, among others, Count Basie, Lionel Hampton and Dizzy Gillespie.

With his gap-toothed grin, pith helmet and extrovert trombone style, Al Grey was one of the most colourful characters in jazz. He and Alyn Shipton first met when Radio 3 broadcast Lionel Hampton's Golden Men of Jazz, for whom Al was musical director. They kept in touch, and not long before Al's death in March 2000, Alyn visited him at his home in Great Neck Long Island to pick the trombonist's favourite recordings from his voluminous catalogue.

Celebrating Ornette Coleman's 80th birthday in March 2010, Alyn Shipton was joined by Scottish saxophonist Paul Towndrow to select the key recordings by Coleman, the saxophonist who developed free jazz in the late 1950s and early 1960s.

The British-born pianist Marian McPartland has become an American national treasure, not least through her long-running radio show Piano Jazz. In this edition of Jazz Library she joins Alyn Shipton to celebrate her 92nd birthday next month, and to select the highlights both from her recordings with her own trio, and also from available CDs of her radio series.

Producer: Alyn Shipton.

Pianist Keith Tippett is a musician of extraordinary breadth and vision. His projects range from the vast 50-piece orchestra Centipede - so large it had its own private plane for touring - to introspective improvised solo concerts. He joins Alyn Shipton to pick the highlights of a recorded catalogue that spans over forty years, and which not only contains his ensembles large and small, but several surprises as well.

Keith Tippett is one of Britain's most inventive musicians, although nowadays he something of a prophet without honour in his own land, celebrated in Europe, but performing infrequently at home. This edition of Jazz Library demonstrates just what local audiences have been missing, in a fascinating spread of music in which Tippett handles sprawling big bands with the same sureness of touch as he applies to his own piano playing. The programme includes his large groups Tapestry, Ark and Centipede, his current band Mujician, the celebratory Dedication Orchestra which commemorates the cream of South African jazz players, and Keith's long musical partnership with his wife, Julie Tippetts, who was formerly known as the pop singer Julie Driscoll, with her top ten hit for Brian Auger "Wheels on Fire".

On 6 February 2010, Sir John Dankworth died aged 82. In this special edition of Jazz Library, Alyn Shipton introduces an archive interview in which John Dankworth selected some of his finest recordings. These range from his work with the Johnny Dankworth Seven and his big band to the settings he wrote for Cleo Laine, as well as music composed for films and television.