Working from the (somewhat incestuous) bibliographies in British Radio Drama, Contemporary Authors, Contemporary Poets, and The Dictionary of National Biography, here's a nearly complete list of Henry Reed's writing for radio, including his translations from French and Italian (but not his talks or criticism):

• Noises (4 March 1946)
• Noises—Nasty and Nice (1947)
• Moby Dick: A Play for Radio from Herman Melville's Novel (26 January 1947)
• Pytheas: A Dramatic Speculation (25 May 1947)
• The Unblest: A Study of the Italian Poet Giacomo Leopardi as a Child and in Early Manhood (9 May 1949)
• The Monument: A Study of the Last Years of the Italian Poet Giacomo Leopardi (7 March 1950)
• Return to Naples (17 August 1950)
• Canterbury Cathedral: An Exploration in Sound (with Elisabeth Lutyens, 7 November 1950)
  
• A By-Election in the Nineties (3 March 1951)
• The Dynasts (adapted from Thomas Hardy, 3-9 June 1951)
• Malatesta (translation, Henry de Montherlant, 26 February 1952)
• The Streets of Pompeii (16 March 1952)
• The Great Desire I Had: Shakespeare and Italy (26 October 1952)
• Westminster Abbey (with Elisabeth Lutyens, 1953)
• A Very Great Man Indeed (7 September 1953)
• All for the Best (translation, Luigi Pirandello, 22 November 1953)
• The Private Life of Hilda Tablet: A Parenthesis for Radio (24 May 1954)
• Hamlet; or, The Consequences of Filial Piety (translation, Jules Laforgue, June 20 1954)
• The Battle of the Masks (translation, Virginio Puecher, 6 September 1954)
• The Queen and the Rebels (translation, Ugo Betti, 17 October 1954)
• Emily Butter: An Occasion Recalled (14 November 1954)
• The Burnt Flower-Bed (translation, Ugo Betti, 23 January 1955)
• Vincenzo: A Tragicomedy (29 March 1955)
• Holiday Land (translation, Ugo Betti, 5 June 1955)
• A Hedge, Backwards (29 February 1956)
• Crime on Goat Island (translation, Ugo Betti, 7 October 1956)
• Don Juan in Love (translation, Samy Fayad, 5 November 1956)
• Alarica (translation, Jaques Audiberti, 22 September 1956)
• Irene (translation, Ugo Betti, 20 October 1957)
• Corruption in the Palace of Justice (translation, Ugo Betti, 19 January 1958)
• The Auction Sale (poem, 20 September 1958)
• The Primal Scene, As It Were: Nine Studies in Disloyalty (11 March 1958)
• Not a Drum Was Heard: The War Memoirs of General Gland (6 May 1959)
• One Flesh (translation, Silvio Giovaninetti, 12 June 1959)
• The Land Where the King Is a Child (translation, Henry de Montherlant, 3 October 1959)
• Musique Discrète: A Request Programme of Music by Dame Hilda Tablet (with Donald Swann, 27 October 1959)
• The House on the Water (translation, Ugo Betti, 3 February 1961)
• A Hospital Case (translation, Dino Buzzati, 22 November 1961)
• The America Prize (translation, Dino Buzzati, 18 June 1964)
• Zone 36 (translation, Dino Buzzati, 22 March 1965)
• The Complete Lessons of the War (poems, 14 February 1966)
• The Advertisement (translation, Natalia Ginzburg, 24 September 1968)
• Summer (translation, Romain Weingarten, 3 October 1969)
• The Two Mrs. Morlis (translation, Luigi Pirandello, 8 November 1971)
• The Strawberry Ice (translation, Natalia Ginzburg, 21 January 1973)
• Room for Argument (translation, Luigi Pirandello, 7 January 1974)
• The Wig (translation, Natalia Ginzburg, 23 March 1976)
• Like the Leaves (translation, Giuseppe Giacosa, 24 May 1976)
• Duologue (translation, Natalia Ginzburg, 3 January 1977)
• The Soul Has Its Rights (translation, Giuseppe Giacosa, 22 June 1977)
• Sorrows of Love (translation, Giuseppe Giacosa, 23 October 1978)
• Moby Dick (new production of 1947 play, 2 February 1979)
• I Married You for Fun (translation, Natalia Ginzburg, 7 January 1980)

It's likely some of the dates are incorrect, owing to frequent rebroadcasts and re-adaptations, and I've yet to find a record for the broadcast in 1953 of Reed's collaboration with the composer Elizabeth Lutyens on her BBC-commissioned Westminster Abbey. Still, this should be a fairly accurate and (almost) plenary list.