How can I get Skype to not stay minimized in the task bar?
Solution 1:
Hey, I just had this same issue, but there was not compatibility mode when I right clicked skype in the task bar. I found that if you go into Tools \ options \ Advanced \ and uncheck the box that says "keep skype in the taskbar while i'm signed in" fixed up the issue for me.
Solution 2:
Right click on the Skype Shortcut, and choose the compatibility tab.
From there, set the compatibility mode to Windows Vista SP2.
That should allow Skype to minimize to the notification area.