A total of nine sports are practised at the club: football, basketball, handball, taekwondo, karate, tennis, swimming, athletics and gymnastics.

Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply.

Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply.

[1] Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply.

On 28 September 2018, Skautafélagið Björninn folded with Fjölnir overtaking all its departments, assets and debts.