Baasmo earned his breakthrough in 2003 when he received the Amanda award for his performance in the Norwegian picture Buddy.

He won the TV award Gullruten in 2007 for his portrait of Henrik Ibsen in the TV-series An Immortal Man (En udødelig mann) on NRK.

Baasmo starred in the Swedish 2008 film Arn – The Kingdom at Road's End.

That same year he won Norway's most prestigious actor's award, the Heddaprisen, for his interpretation of Hamlet.

[1] Baasmo voiced Hans in the Norwegian dub of the Disney animated film Frozen and played Herman Watzinger in the 2012 adaptation of Thor Heyerdahl's Kon-Tiki.