There is no "Living Dark Sun", though there was a group that tried to start something under that name. The campaign is
Ashes of Athas, and is run by Baldman Games with help from Wizards of the Coast.
Several on your list aren't really active. I'm not sure at which point we call something extinct. For example, SpyMaster is ostensibly active, but I don't know of any games being run for it in years. Living Planar did not run for very long, especially since it ran into legal issues. Are people really playing Kalamar in any real numbers? Blackmoor? A possible measure would be whether there is an active administration for the campaign, as it is always possible to dig up a few individuals that might be running a game; having active admins is an entirely different thing. Also, I would tend to think that a campaign needs to be fully legal. Living Greyhawk has some people running games and even editing/writing stuff, but I would not call that an active campaign. (No offense meant to anyone, just trying to propose some way to measure an active campaign)