Alex Welsh was a fine traditional and mainstream trumpeter, who led one of Britain's best jazz groups from the 1950s to the 1980s. Digby Fairweather, who knew him well and inherited Welsh's cornet, joins Alyn Shipton to select the finest available recordings from the Welsh band's long career.

Barbados-born Harry Beckett was one of the most fiery and inventive trumpeters in British jazz, right up until his death in July this year. Chris Batchelor joins Alyn Shipton to look back at Beckett's recordings, and to pick his best performances. As well as a range of music from his own bands, the programme includes Beckett's work with Ian Carr, Mike Westbrook and Graham Collier.

Best known as the leader of the fusion bands Tempest and Colosseum, drummer Jon Hiseman's career in jazz covers almost all styles and genres. He talks to Alyn Shipton about a catalogue of recordings that includes free jazz trios with Mike Taylor, big bands, his own groups including Colosseum, and his work with his wife Barbara Thompson in Paraphernalia and the United Jazz and Rock Ensemble.

Phineas Newborn Jr. was one of the finest pianists in jazz history, but his short career was dogged by physical and mental illness and he is now a somewhat obscure figure. In the wake of several recent reissues of Newborn's work, Brian Priestley joins Alyn Shipton to pick the highlights and to reappraise this largely forgotten genius of the piano.

In an archive interview with Alyn Shipton and Geoffrey Smith, the late Johnny Griffin selects his favourite records.

Bobby Wellins joins Alyn Shipton at the Oxford Jazz Festival to select his key recordings.

The Glasgow-born saxophonist achieved stardom for his solo on Starless and Bible Black in Stan Tracey's Under Milk Wood. In conversation with Alyn Shipton at the Oxford Jazz Festival he discusses many other highlights from his recordings.

Composer and saxophonist John Altman joins Alyn Shipton to pick the best records by saxophonist Al Cohn. As well as his solos albums and his lengthy association with fellow tenorist Zoot Sims, the programme covers Cohn's work with Joe Newman and Freddie Green, and as an arranger for Gerry Mulligan's Concert Jazz Band.

Guitarist Mike Stern has been a major figure in jazz fusion throughout his career. In this programme he traces some of his principal associations and picks some of his own best recordings in conversation with Alyn Shipton at the Sage Gateshead, as part of the 2011 Jazz Festival there. The music ranges from his work with Miles Davis and the Brecker Brothers to his long association with saxophonist Bob Berg.

Saxophonist Joe Lovano is one of the most versatile soloists in jazz. In conversation with Alyn Shipton in front of an audience at the 2011 Gateshead International Jazz festival he discusses some of his finest records, from duos with Hank Jones to a range of trios, and from there to octets and his current group Us Five. He also discusses his compositions and work with large ensembles such as his Symphonica project.

To celebrate the 92nd birthday of George Avakian, the veteran record producer joins Alyn Shipton to pick his personal favourites from a long career in supervising record sessions, starting in 1939.