There are a lot of free things to do in Reykjavík, check out these museum etc. I have added tips on most of these places.
The National Gallery of Iceland. This is a museum of contemporary art. Free admission.
Reykjavík Museum of Photography. Free admission.
The Icelandic National museum. Free admission on Wednesdays.
The Culture house. Free admission on Wednesdays.
The Reykjavík Botanic garden. Free admission.
There is free admission to the sculpture garden of the Museum of Einar Jónsson. The entrance is on the street behind the museum. I recommend going there.
A free guided walking tour of Reykjavík. This is a free guided walking tour of the center of Reykjavík. There are other free tours as well, will add information on them later. The tour starts at 13:00 every day in front of the Information center in Aðalstræti and lasts for 2 hours.
In July and August at 17:00 there is a free guided tour in English which starts from The City Library in Tryggvagata. The guide will take you on a tour in the old town and the harbour.
The panoramic platform on the roof of Perlan. There is an excellent view of the whole of Reykjavík and surrounding areas from the top of Perlan. Free admission.
Take a peek inside the Parliament building and watch Alþingi at work. There is no need to book in advance but if you want a guided tour of the building you can e-mail heimsoknir@alþingi.is
There are a lot more free things to do in Reykjavík and I will add to my list when I think of more things to do.
There used to be free admission to a lot of museums and galleries until February 1st, 2011 so I had to delete a lot of free things to do on this list :(
Since I don't have a lot of money to travel, I decided to google free things to do in Reykjavik. I came across a great website that gives you all the things you can do for free.
You can find museums, free events, free live music in bars and free activities. I found a free bike tour with a guide that takes you around Reykjavik on bicycles, and also free guided tour around midtown Reykjavik. There is something for everyone. The thing I loved the most, were the leictures at the University, where you can enjoy them for free.
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