My Xcode never starts with a new project window. Every time I click in the Dock icon Xcode starts but no window opens. So I have to select File->New->New Project. How can I start it directly with a new project window?
What version of Xcode are you using? In Xcode 4 choose Window > Welcome to Xcode to open the welcome window that gives you an option to create a new Xcode project. Select the Show this window when Xcode launches checkbox to have the welcome window open when you launch Xcode.