that fights explicitly discriminatory laws or government-sanctioned discrimination, such a as anti-sodomy laws, but there is also a component that fights private discrimination in housing, employment, schooling, etc. For example, laws that don’t allow you to refuse housing or employment to someone for being a woman, or black, or Jewish, or Mormon. These laws are still commonly referred to as civil rights laws/legislation, even though you apparently think of them as privileges rather than rights.

BTW, you keep getting mixed up, I am not arguing a position in this discussion, but rather simply answering the OP’s question. Whether or not you agree with them that they are really “rights”, these are the gay “rights” that gay activists are fighting for.