We visited Iceland in early September of 2016 on our own at the end of a European vacation that included a train trip through Switzerland and a Rhine River Cruise.    We flew from Amsterdam and spent 4 days in Iceland.  We stayed in Reykjavik and traveled out from there.  The majority of the sights we saw was around the area of Reykjavik so I have included them in the Reykjavik city info.

We rented a car for the time we were there and it is actually the only time we have done this outside of the US and the Caribbean.  One day we drove down to the southern most town of Vik for the waterfalls and island views. 

This is an incredible country and we would go back in a heartbeat.  If you land in Iceland on the way to Europe you actually clear European customs there.

We tried to see the Northern Lights, but it was really early in the season and we only got to see a whiff of them.  You have to go more into the winter time to see them.