In 1974, Luxon began his long association with the English National Opera, which culminated in his appearance in the title role of Verdi's Falstaff in 1992.
He has also been recognised for his work rehabilitating parlour songs from the late nineteenth and early twentieth century, particularly in partnership with Robert Tear.
He made several appearances on BBC TV's long-running Music Hall Variety show, The Good Old Days, both with Robert Tear and on his own.
Luxon has made more than one hundred recordings, many featuring early and mid twentieth-century British songwriting and folksong arrangements by composers such as Britten, George Butterworth, Percy Grainger, Ivor Gurney, Roger Quilter, Ralph Vaughan Williams, Gerald Finzi and Peter Warlock.
As a guest on the BBC's Desert Island Discs program, he said that his favourite piece of music is Thomas Tallis's Spem in alium.
[1] Afterward, Luxon developed a career as a narrator and poetry reader, whilst continuing to give master classes and direct opera.