This company provides (though only clients get full access to the full data, there is a lot of information open to anyone) detailed information on broadband access, IPTV, and VoIP across the world (more than 100 countries). Its Global Broadband Statistics produce quarterly reports tracking different technologies and operators.

This British regulator provides figures on online communications: Average time spent per month browsing online on PCs or laptops, Number of UK fixed residential & SME broadband lines, Proportion of adults with broadband in the UK (fixed & mobile), Market shares of fixed broadband providers in the UK, Superfast fixed broadband take-up, Superfast fixed broadband lines, Average UK broadband speed, Proportion of online adults who use social networking sites, Proportion of people who use their mobile handset to access the internet, Proportio

Internet Society produces many documents, accessible and searchable here.

Part of the Arab Jordan Investment Bank Group, this research, analysis and consulting company focuses on the communications, media, technology and financial markets throughout the Arab World (MENA) region. It produces (and sells, only a few are offered for free) numerous reports on the Internet, on online social networks, and on digital media. 

Since 2008 Akamai publishes its quarterly State of the Internet Report, with information on online connectivity and cyber security trends and metrics, such as connection speeds, broadband adoption, mobile usage, outages, cyber attacks and  security threats. It also offers connectivity visualizations.

The OECD provides a broadband portal with detailed information and maps about broadband penetration, usage, coverage, prices, and speed in OECD countries. It also provides a list of 15 Key ICT Indicators measuring internet penetration and access.

ESCAP is a regional UN commission that provides access to an interactive online database with economic and social indicators for countries in the Asia-Pacific region, regional-level data, and comparisons with other world regions. Among the "Connectivity" indicators provided are:

The FCC generates large amounts of data and publications.

Internet Monitor is a research project based at Harvard University's Berkman Center for Internet & Society. Internet Monitor's aim is to evaluate, describe, and summarize the means, mechanisms, and extent of Internet content controls and Internet activity around the world. The project helps researchers, advocates, policymakers, and user communities understand trends in Internet health and activity through research, analysis, and data visualization.

Internet Monitor has three components:

This UN agency is a rich source of data about the Internet—the full catalogue of publications can be found here} (http://www.itu.int/dms_pub/itu-s/opb/gen/S-GEN-CAT.OL-2015-PDF-E.pdf). It publishes its yearly report [ICT Facts and Figures with information on Internet users, access, broadband and mobile, pricing, and speed, plus the Yearbook of Statistics.