I've long been fascinated by the explosion of APIs over the past years, captured by the excellent ProgrammableWeb site.
Curious about how categories were evolving over time, I mined ProgrammableWeb's index for interesting patterns. I focused primarily on categories with at least 50 APIs, dividing them up into semesters from the second half 2005 to the first half of 2010. One important detail to be aware of: the PW index includes the last modified date of the API, not its creation date. So think of these graphs as a measure of activity in a particular category. For example an API may have been created in 2006 but if it was updated in 2010 it will count towards that last bar on the graph.