So Seong-uk, left, speaks at a press conference while his partner Kim Yong-min looks on in February 2021 as they file a lawsuit against South Korea's National Health Insurance Service at the Seoul Administrative Court. Jung Yeon-je/AFP via Getty ImagesA South Korean appeals court ruled Tuesday that government health insurance should offer spousal coverage to same-sex couples. have traveled overseas to get marriage licenses issued by countries that recognize same-sex marriage, or attempted to register their marriage at local public offices despite the expected denial