There were two major ones that I can think of... Stonewall and CHE (Campaign for Homosexual Equality) but there were probably many others.
equality for blacks
On the Pastoral Care of Homosexual Persons was created in 1985.
Homosexual Law Reform Society was created in 1958.
It is a symbol for human equality, particularly used in the homosexual community.
Equality Florida was created in 1997.
Equality Colony was created in 1897.
Youth for Equality was created in 2006.
Equality Utah was created in 2001.
Forum for Equality was created in 1989.
Against Equality was created in 2009.
Animal Equality was created in 2006.