There are several excellent record shops in Reykjavik. 12 Tonar, Lucky Records which has new and used records, the tiny Reykjavik Record Shop and Smekkleysa [which has now moved to a new location] are my favourites. 12 Tonar offer you a free coffee which is very nice of them. I like to visit them all whenever I am in town.
There is more to Icelandic music than just Sigur Ros and Björk , who are both Icelandic institutions now and deservedly so. If you think you do not know Sigur Ros it is likely that you will have heard their music on soundtracks to films and documentaries.
I now have a whole page dedicated to Music from Iceland, – click HERE to check it out.
Just when it gets all cold, dark and wintery, Iceland Airwaves comes to the rescue with a few days of eclectic music from Iceland and beyond. The festival this year was cancelled for obvious reasons but is scheduled to return Nov 3rd-6th 2021 – YAY! https://icelandairwaves.is/