Much of his work for radio dramatised history and biography, and became a staple of the Children's Hour strand for younger listeners.

He also wrote extensively for the stage, forming a close relationship with the Sheffield Playhouse, and from 1934 to 1936, he wrote for a number of films, ranging from horror The Ghoul (1933), The Man Who Changed His Mind (1936), and musical comedy Princess Charming (1934), Land Without Music (1936), to serious drama adaptations Turn of the Tide (1935), and the all-star spectacular Transatlantic Tunnel (1935).

Frank Launder once claimed that he and Sidney Gilliat had to abandon "most of the script" for Seven Sinners (1936) and that Peach's "only virtue was speed.

In 1927 he founded an amateur group at Great Hucklow, close to his home in the Peak District of Derbyshire, which achieved a notably high standard.

Peach also entered the world of politics, standing as a candidate for the Liberal Party at the 1929 General Election in the dual member seat of Derby, without success.