Dashpoet

This colorful, happy design from dashpoet.com is a "map" of links to children's websites. Link

Dashpoet.com features a number of "original internet maps" all using bright colors and simple design. Maps include news, travel, shopping, football, museums, music and more.

Mapping the Digital Divide in Africa

In 2005 Acacia published an atlas full of fantastic maps on this topic. Acacia is an information and communication technology initative in sub-Saharan Africa. The map shown here is a measure of the ICT Opportunity Index, which combines "ITU's Digital Access Index and Orbicom's Monitoring the Digital Divide/Infostate conceptual framework and model."
Page 16 also has a great map on the affordability of the internet in Africa.

I'd love to see this updated - it's the most comprehensive mapping of internet and telephony infrastructure and access that I've seen.

TouchGraph

TouchGraph is a free Java application focused on visualization of web-based information and designed to help people explore the connections between related websites.

The TouchGraph Google Browser reveals the network of connectivity between websites, as reported by Google's database of related sites.

Distribution of NY Times Online news

Here is another map illustrating the distribution of online news stories over world geography.
This map shows world countries shaded according to the number of search results from the last year at nytimes.com divided by the number of citizens in each country. Link

Ambiguous map from 2007

This 2007 map by ExploMap shows a distribution of websites over a world map. Their website says it is "based on the websites world classification carried out by Alexa and ComScore. The websites traffic is correlated with the surface of the countries." I wasn't able to tell from their site whether the most "popular" website in each country is listed or if this is relating the relative surface area of countries to the corresponding size/traffic of major websites. (the second seems more plausible given some of the site names...any insight out there on this?) Link to full map

VerveEarth

VerveEarth plots out blogs by their (self-identified) geographic location (look for Internet Geography in Stamford, CT). Described as "a new way to reach your favorite websites and surf the net," VerveEarth lets you navigate by categories listed across the top and, if you register, you can mark your favorite "destinations." The clean google maps interface brings a nice visual experience to literally travelling the web.

Navigate the Webby Award Winners

UPDATE: The 2008 Winners have been announced, using the same interactive interface.

7/24/2007 Post:
The Webby Award people have posted an interactive interface to explore all those award-winning 2007 websites.