The sf writers who started publishing in the 1950s and 1960s pushed at the boundaries of subject matter and style within the genre, at a time when taboos were being loosened. In Britain, Michael Moorcock, who took over the editing of New Worlds in 1964, encouraged his contributors to experiment with both content and form. But falling sales saw it move from magazine to paperback format – after issue 200 (April 1970) and a subscribers-only issue (March 1971), both edited by Charles Platt, New Worlds became New Worlds Quarterly. Only six issues were produced by Moorcock between 1971 and 1973, with Platt co-editor of New Worlds 6 (1973). Hilary Bailey and Platt edited New Worlds 7 (1974) and Bailey New Worlds 8 (1975), New Worlds 9 (1975) and New Worlds 10 (1976). Three issues appeared in 1978, with two more in 1979. The title was then dormant until David S. Garnett resurrected it in 1991.

But it would be as misleading to centre the New Wave on New Worlds alone as it would be to spread the term out to cover everything other than hard science fiction or First sf. In the US, Harlan Ellison edited Dangerous Visions (1967) and Again, Dangerous Visions (1972), which offered more liberal attitudes to sex, religion and narrative experimentation than most of the magazines. A third volume, The Last Dangerous Visions, was announced, which was to have included stories by almost all the other active sf authors from the period, but this has yet to appear.