"[14] In March 1978, the organisation was denied publication of an advertisement for its meeting by the national radio service, RÚV.
[17][14] The group lobbied for usage of their preferred terms for "lesbians" and "gays" ("lesbíur" and "hommar"), as opposed to the derogatory phrase "kynvillingar", which meant "sexual deviants", that the radio service would have required them to use in order to publish an advertisement.
[17][18][14] The national radio service then argued that they should use "proper Icelandic" rather than language that "violates popular taste and decency" if they wished to publish an advertisement.
[16] During the HIV/AIDS crisis in Iceland, there was a split in the organisation between some of its gay men and lesbians due to the focus on HIV-related issues at that time.
The event was supported by the government of Reykjavík and attended by many notable Icelandic figures such as presidential candidates, religious leaders, and celebrities.
[23] In 2010, the group granted a human rights award to the Church of Iceland after 111 religious leaders signed an article supporting gay marriage.
[24] In August 2015, the organisation ran a contest called Hýryrði 2015 (Queer Words 2015) attempting to translate sixteen LGBT+ phrases into the Icelandic language.
[26] In 2015, the group experienced a conflict with the Church of Iceland about whether ministers should be able to refuse to approve a gay marriage.
[31][32][33] In June 2021, they awarded a badge to former Prime Minister of Iceland Jóhanna Sigurðardóttir as the first openly gay head of government in the world.
[34] In September 2021, the group assessed each of Iceland's political parties' platforms, based on how thoroughly they addressed LGBT issues.
[35] As of 2021, the group also compiled data on suspected hate crimes in Iceland, in the absence of officially collected statistics by the national government.