The Danish IT and Telecomm Agency, ITST, organized a competition to stimulate the re-use of open government data in the fall of 2009, called ODIS. ODIS stands for Offentlige Data i Spil ('bringing public data into play').
Winners were announced at the ODIS conference in Copenhagen on February 4th 2010.

Looking for a good name for your child? A name that isn't used too much? One that goes with your family name? Navnelaboratoriet (the name laboratory) helps out. Combining the official names registry in Denmark with statistic data on name usage and wikipedia info on the meaning of a name, and a RESTful API, this is one cool mash-up.

Digitaliser.dk is the 'social network and tool for development, knowledge sharing and a forum for the digitisation of Denmark.' Initiator is the Danish National IT and Telecom Agency, part of the Ministry for Science, Technology and Development.

Folkets Ting (people's parliament) tracks both laws under discussion, as well as the parliamentary activity of Danish MP's.

A KML file of Danish water courses and measuring stations. Water level data from online measurement stations is embedded as graph.

Based on data bought from the Danish Statistics Office you can search on a family name and see it's absolute and relative occurance in different Danish municipalities.