This list is chronological and includes collections that have been influential in feminist organizing. There were also regional and college based publications. I would prefer that you look at the physical book or newsletter, but have included links to some digital editions.
  • Toni Cade Bambara, The Black Woman; an Anthology. New York: New American Library, 1970.
  • Third World Women’s Alliance, Triple Jeopardy, 1971-1975.
  • Janice Mirikitani and Third World Communications, eds. Time to Greez! Incantations from the Third World. San Francisco: Glide Publications, 1975.
  • Conditions 5  (1979)
  • BWOA. What It Is : A Newsletter of Black Women Organized for Action. (1970s – ended 1980). I actually don’t know where to find this primarily West Coast newsletter, but wanted to list it in case you have older friends/relatives who know about it.
  • Dexter Fisher, ed. The Third Woman: Minority Women Writers of the United States. Boston: Houghton Mifflin, 1980.
  • Moraga, Cherríe, and Gloria Anzaldúa, eds. This Bridge Called My Back: Writings by Radical Women of Color. 1st ed. Watertown, Mass: Persephone Press, 1981.
  • Barbara Smith, ed. Home Girls: A Black Feminist Anthology. 1st ed. New York: Kitchen Table–Women of Color Press, 1983
  • Alma Gómez,  Cherríe Moraga, and Mariana Romo-Carmona, eds. Cuentos: Stories by Latinas. 1st ed. New York: Kitchen Table, Women of Color Press, 1983.
  • Audre Lorde,  I Am Your Sister : Black Women Organizing across Sexualities. New York: Kitchen Table: Women of Color Press, c1985.
This is not a multiracial feminist anthology, but was a significant early collection read by many feminists in the 70s. It has some early black feminist work:
Sisterhood Is Powerful : An Anthology of Writings from the Women’s Liberation Movement. New York: Vintage Books, 1970.