She has starred in several movies and television shows in the 1980s (such as More American Graffiti, The Sword and the Sorcerer, Remington Steele, Fantasy Island). She was briefly married to Icelandic actor and musician Jakob Magnússon. In the 1970s and '80s, she appeared in advertisements for Vidal Sassoon and Noxzema. Bjorn was paid $2 million for identifying notorious gangster and fugitive Whitey Bulger to the FBI in 2011.
|1979||More American Graffiti||Eva|
|1982||The Sword and the Sorcerer||Elizabeth|
|1982||Með allt á hreinu (On Top: USA title)||Hekla|
|1983||Get Crazy||Countess Chantaminaa|
|1981||Diff'rent Strokes||Kristin||Guest star|
|1982||The Devlin Connection||Erica||Guest star|
|1983/1984||Fantasy Island||Connie/Monique||Guest star|
|1985||Remington Steele||Reporter||Guest star|
|1986||Dream West (TV)||Angelique|
|1991||Shannon's Deal||Ingrid||Guest star|
- "Striking beauty bonded with Greig over cats", The Boston Globe, October 9, 2011
- "When Anna Bjorn Tells Husband Jakob Magnusson to Take It Off, She's Only Rehearsing Lines", People
- Murphy, Shelley; Maria Cramer (October 9, 2011). "Whitey Bulger's life in exile". The Boston Globe. Retrieved 2011-10-09.
- "Former Miss Iceland got $2 million reward in Bulger case". Reuters. October 9, 2011.