The club gained worldwide fame when their elaborate goal celebrations, including a highly choreographed depiction of landing a fish, diving, a human toilet, a human bicycle, and an imitation of a Rambo shooting spree, were published widely across the Internet and football television shows. The Spanish mobile network Movistar even made a YouTube video about Stjarnan.
The women's team won the Icelandic championship in 2011 and 2013.
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The Stjarnan Women play in Iceland's top division, the women's Úrvalsdeild. In 2011 the team won the championship two weeks before the end. The team also reached the final of the Icelandic Women's Cup in 1993 and 2010, losing 1–3 and 0–1 respectively. The team won the cup eventually in 2012 with a 1–0 win over Valur. In 2013 they won their second eague title.