There are other divisions aside from football including Basketball, Handball and Taekwondo. Its main rivals is another sport club from Akureyri named KA. Þór and KA merged their handball clubs to form Akureyri handboltafélag before the 2006-07 handball season in Iceland. Resulting in some fans to disowning the merged team.
On September 18, 2010, Þór won against Fjarðabyggðar to move into second place in the second division of Icelandic football, 1. deild. Going into the game, Þór had to win and they also needed Leiknir to lose in order to go into second place since Leiknir was 3 points clear of them. This was their last gasp to reach promotion to the top flight football of Iceland, Úrvalsdeild. Even though Þór already had a superior goal difference, they defeated Fjarðabyggðar 9-1 in a thrashing. Leiknir played their match at the same time and so knew they needed to at least draw to earn promotion as the scoreline was always in Þór's favor. However, only 5 minutes into the game Leiknir's opponent Fjölnir scored on a strike from forward Pétur Markan. Leiknir found a response in the 44th minute, but it would not be enough. Just before the half, Markan added a second goal for Fjölnir. Then, came the dagger, a 47th minute strike by none other than Markan to begin the second half left Leiknir stunned. He had completed his treble and although Leiknir was not out of it by any means, they would not be able to pull another goal back. In the first meeting of the season between the two Reykjavík teams, with five minutes remaining and Leiknir winning 3-2, Fjölnir leveled in the 87th minute. Then in stoppage time, Aron Jóhannsson completed his treble for Fjölnir and Leiknir had lost. So, Þór returned to top flight for the first time since 2002, finishing runner-up to Víkingur Reykjavík.
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The women's football team playing under the name Þór/KA in the top level league Úrvalsdeild achieved good results in recent seasons. In 2006 the team finished 7th of 8 teams, 8th/9 in 2007, the reaching a good 4th/10 in 2008 and then bettering those results with 3rd/10 in 2009 and a second place finish in 2010. As Iceland is in the top 8 leagues of UEFA, those second place is enough to qualify for the 2011–12 UEFA Women's Champions League. The team will deput in Europe that season.
In 2010 the team also went to the semi-finals in the Icelandic cup, losing to the eventual winner Valur.