Transnational feminism
In the "Oxford Handbook of Transnational Feminist Movements", Valentine Moghadam says that "women have worked together across borders since at least the mid-1800s. (55)" What is now called first wave feminism started in the early twentieth century in the West with a focus on women's suffrage. 
During World War II, the United States government gave women jobs because the war had caused a national shortage of labor. After the war ended, Irene Tinker says (oxford transnational), these jobs were taken away but women were no longer satisfied going back to their previous gender roles. Starting in the 1960s in the United States, second wave feminism emerged, defined by women's organization around "equal right to education, employment, and equal pay for equal work, and on sexual and reproductive rights."
Radical feminism
In the 1960s, radical feminism emerged simultaneously within liberal feminist and working-class feminist discussions, first in the United States, then in the United Kingdom and Australia. Those involved had gradually come to believe that it was not only the middle-class nuclear family that oppressed women, but that it was also social movements and organizations that claimed to stand for human liberation, notably the counterculture, the New Left, and Marxist political parties, all of which were male-dominated and male-oriented. In the United States, radical feminism developed as a response to some of the perceived failings of both New Left organizations such as the Students for a Democratic Society (SDS) and feminist organizations such as NOW. Initially concentrated in big cities like New York, Chicago, Boston, Washington, DC, and on the West Coast, radical feminist groups spread across the country rapidly from 1968 to 1972.