[3] In 1964, it became the first Icelandic team to compete in a continental competition when it defeated the Collegians from Belfast, 71-17, in the first round of the 1964–65 FIBA European Champions Cup (now called EuroLeague).

[5] In November 2015, ÍR fired Bjarni Magnússon after a bad start and replaced him with assistant coach Borce Ilievski.

The following season, the team fared better and won 11 out of 22 games, good for a seventh place finish and a trip to the playoffs for the first time in six years.

[8] Taylor's performances alongside point guard Matthías Orri Sigurðarson got ÍR into second place in the league after the regular season.

The victory sparked hope in the ÍR team which eventually came back and won the series 3-2 to set up a meeting with rivals and league champions Stjarnan.

The winner of the series would go on and face five-time champion powerhouse KR which had had a disappointing regular season and finished as the fifth seed.

In OT ÍR dominated and captain Sigurkarl Jóhannesson dunked as time expired as commentator Henry Gunnarsson yelled,: "The giant (KR) has been knocked out.

A foul was called which allowed ÍR the chance to win in DHL-höllin for the second time in a row, in overtime in the finals and take a 2-1 series lead against the five-time consecutive champions.

Three seconds left and the ball was tossed to veteran forward Trausti Eiríksson who found 21-year old captain Sigurkarl Jóhannesson open in the corner.

Jóhannesson's three hit the net as time expired and ÍR had the chance to win the championship at home in game four.

After having been fouled hard by Jón Arnór Stefánsson, former Dallas Maverick, KR-legend and widely regarded as the greatest Icelandic player ever, Kevin Capers had broken his hand and was out for the final game of the season, the title clincher.

In September 1975 ÍR was drawn from a pool of teams to face Real Madrid in the 1975–76 FIBA European Champions Cup.