"The popular Reykjavik Tourist Card is your key to the city. The approximately $19 card is good for 24 hours, and is sold at most local hotels and tourist centers. It provides free access to many museums and galleries, free Internet access, and unlimited travel on the city buses. Best of all, it provides access to the city's seven thermal pools." (from the Iceland e-list)Note: for slightly higher fees, you can also buy cards valid for 48 or 72 hours! They are also available for over 40 other European cities!
Surely, Victoria attractions could get it together, along with transit and a couple of internet cafes to provide this service? C'mon!