Things to see:

Harpa Concert Hall

Blue Lagoon

Dettifoss Waterfall

Laugavegur

Helicopter Tours

Hallgrimskirkja (Church)

Saga Museum (Vikings)

Perlan Museum

Restaurants:

(Try Puffin or fermented Shark while you’re here, kind of like Haggas in Scotland, you have to just do it).

Grillmarkaðurinn (Grill Market): One of the best restaurants in the city. It has an excellent 8 course tasting menu with wine pairing. 

Fiskmarkaðurinn (Fish Market)

Dill Restaurant

Út í bláinn (Perlan)

Baejarins Beztu Pylsur – Famous hot dog stand in the city

Skólabrú 

Matur og Drykkur

Bars/Clubs:

Micro Bar

Skuli

Kaffibarinn

Tivoli

Loftið

Mikkeller & Friends

Kaldi