Within Judaism, there are many shades of LGBT acceptance:
The Reconstructionist Movement was the first movement to publicly address the issue on homosexuality and same-sex marriage in their 1988 report. The Reconstructionist Rabbinical College was the first Jewish seminary to accept openly gay and lesbian students.
LGBT Jews and their families are fully included in Jewish communal life. Reconstructionist rabbis are free to perform same-sex marriage ceremonies.
The Reform Movement has a long and proud history of working for full inclusion of LGBT people in Jewish life and for their full civil rights. In fact, in 1965, the Women of Reform Judaism were calling for the decriminalization of homosexuality. Resolutions by the Union for Reform Judaism and the Central Conference of American Rabbis followed.
LGBT Jews and their families are welcome in all Reform temples. LGBT Jews may be ordained as rabbis. Most Reform rabbis officiate at same-sex ceremonies.
The Conservative Movement used to hold the same position as Orthodox Judaism. However, since the 2000's, they have issued several resolutions in which they affirm that LGBT Jews are an integral part of the movement's families, synagogues and communities. Currently, Conservative Judaism endorses full and equal civil rights for LGBT people.
LGBT rabbis can serve openly since 2006. In the 2010's, the American and British branches of Conservative Judaism formally approved same-sex marriage ceremonies. Nonetheless, the Conservative communities may choose not to conduct same-sex ceremonies.
The Orthodox Movement has a variety of views regarding LGBT people. Its traditional position on homosexuality is well known: two verses in Leviticus (18:22 and 20:13) express unequivocal condemnation of male homosexual sex. The Talmud also disapproves of lesbianism: Shabbat 65a/b and Yevamot 76a.
Orthodox Judaism mostly affirms that Judaism legislates only acts, not orientations. Therefore, homosexual people should not be cast out from the community, even though openly LGBT rabbis are not ordained. It is the homosexual activity that is condemned. Orthodox Judaism opposes marriage equality and will not officiate at a same-sex wedding or affirm same-sex relationships. Even worse, some will even reject LGBT members and/or endorse discredited "reparative therapy."