Excellent Lobstersoup and try out the sample of Minke whale.
This is a really good one, traditional Icelandic food with a real modern twist.
A golden Oldie with all the Icelandic traditional classics
Expensive but great for fish (Close to Microbar)
This restaurant specializing in fish is on Aðalstræti (The main street) by Ingolfstorg, really a treat!