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."
Black feminism
Black feminism has been around since the time of slavery. If defined as a way that black women have sought to understand their positionality within systems of oppression then this is exemplified in Sojourner Truth's famous speech, "Ain't I a Woman?", which was delivered in 1851 at the Women's Convention in Akron, Ohio. Truth addressed how the issues being discussed at the convention were issues that primarily impacted white women. The book "A Voice from the South" (1892) by Anna Julia Cooper has been credited as one of the first pieces of literature that expresses a black feminist perspective. Several other texts have been published since that have expressed the evolution of these ideas; one of the keystone pieces within the modern black feminist movement being "Women, Race, and Class" (1981) written by activist and cultural critic, Angela Davis"." Kimberle Crenshaw, a prominent feminist law theorist, gave the idea the name intersectionality in 1986–1987 as part of her work in anti-discrimination law, as part of describing the effects of compound discrimination against black women.