In case you're not familiar with it, The Political Quarterly was founded in 1930 by Leonard Woolf (husband of Virginia Woolf).

The journal is broadly centre-left or social democratic in outlook, but has published articles by thinkers across the whole spectrum, including William Beveridge, Samuel Brittan, Ernest Gellner, Richard Hoggart, John Maynard Keynes, Arthur Koestler, Harold Laski, Benito Mussolini, Bertrand Russell, Leon Trotsky and Raymond Williams. The statement of purpose in its first issue said:

"The function of The Political Quarterly will be to discuss social and political questions from a progressive point of view. It will act as a clearing-house of ideas and a medium of constructive thought. It will not be tied to any party and will publish contributions from persons of various political affiliations. It will be a journal of opinion, not of propaganda. But it has been planned by a group of writers who hold certain general political ideas in common and it will not be a mere collection of unrelated articles..."

Its current editors are Andrew Gamble and Tony Wright MP, and its literary editor is Donald Sassoon. Former editors include Leonard Woolf, Kingsley Martin, Sir Bernard Crick and David Marquand. The journal is currently published by Blackwell and is one of the sponsors of the prestigious annual Orwell Prize for political writing.