The Sugarcubes- Life's Too Good (1988)

Début LP from The Sugarcubes.

The Sugarcubes made it in the UK in 1987 when their single Birthday, was an NME record  of the week and later  topped John Peel's Festive Fifty.
Here is the original Icelandic version:

 

Björk Guðmundsdóttir -vocals, keyboards
Einar Örn Benediktsson -vocals, trumpet
Þór Eldon Jónsson -guitar
Bragi Ólafsson - bass
Sigtryggur Baldursson - drums

Bjork- Unplugged (1994)

A July 1998 survey by an Icelandic national newspaper found that 54.4% of Icelanders believed in elves.
This is a recording of Bjork's first appearance on MTV Unplugged in 1994, and features songs from her first solo album, Debut,

Hafdís Huld- Dirty Paper Cup (2006)

Whilst we are on the subject of Iceland...
Hafdis Huld has a painstakingly fragile, quirky voice - like Bjork crossed with Cerys Matthews on a diet of candyfloss. Her solo album delivers some minimal but deliciously skewed pop as Huld belies her gooey vocals and strummed acoustics with dark concerns and some satisfyingly nasty lyrics- The Guardian.
Dirty Paper Cup, Hafdís Huld's debut album, was released in 2006. It features a cover of a Lou Reed song played on the ukelele.
Enjoy...