One of the most prominent features of Reykjavik is the church named Hallgrímskirkja. It is home to the Lutheran Parish in the city and was named after Icelandic poet & clergyman Hallgrímur Pétursson. The church was commissioned in 1937 and completed in 1986. The statue in the church square is of Leif Ericson. It was a gift to Iceland from the United States in 1930 to commemorate the 1000th anniversary of the Icelandic parliament.
One of the best ways to get oriented in Reykjavik is to go to the top of the Hallgrímskirkja. This gives you 365 degree views of the city.
I really enjoyed Reykjavik. We were fortunate to have great weather the day and a half we were there. Icelanders take great pride in their city and making visitors feel welcome.