Here is my main concern:
How do you draw the line between Web App and Website?
For example, I consider Weebly and Evernote to be web apps. I do not consider Digg or Wolfram Alpha to be ... furthermore, some of your listings only partly qualify as Web [Anything]. Dropbox and RescueTime both have desktop components and Skype is truly not a web app/site in my opinion.
I'm not sure how to define it or where to draw the line–I just think you might have more success by focusing your site on true web apps (i.e. browser-based apps or SaaS that replace/compete with desktop apps and solve a personal/business pain point). It will solve minalecs's point of having too many sites to filter through.
As the site is now, I probably wouldn't use it. But if it was truly an app directory where I could say "Hey, I need to do X ... I wonder if there's a web app" then go and find such an app ... then, yes.