Shunkōin Temple is offering same sex marriages at their temple during the month of June as a celebration of Gay, Lesbian Pride Month. Shunkōin is a sub-temple in the Myōshinji temple complex (near Ryoanji Temple, the Golden Pavilion, and Ninaji Temple) in Kyoto, Japan.

The temple was established in 1590 by Yoshiharu Horio and houses some interesting Christian artifacts from the Edo period (1603 to1867) when Christianity was systematically banned, and eliminated (read: murdered) by the Tokugawa shogunate.

According to their blog:

In 2000, Former U.S. President Bill Clinton proclaimed June to be Gay and Lesbian Pride month. Almost a decade later, on June 1st, 2009, U.S. President Barack Obama proclaimed June to be LGBT (Lesbian, Gay, Bisexual, and Transgender) Pride month in the United States. Shunkoin Temple would like honor these decisions and to increase the understanding of gay and lesbian rights by promoting same-sex weddings at our temple during the month of June, 2011

Japan does not recognize same sex marriages as far as I can tell but they do allow its overseas nationals to marry same-sex foreign partners in countries where they are legal.

Also check out the recent article on The Dharma Bums Temple where they provide welcome arms to the LGBT community.