Since the installer has the nasty habit of adding additional and unwanted baggage and sometimes the autoupdater won't install newer versions (probably to give the installer a chance to do its disgusting thing), you can go to Vuze's download page, select and download the .jar file option, rename to Azureus2.jar, control/right click on the Vuze file, select Show Package Contents, drill down to the Resources/Java folder and replace the old Azureus2.jar file with the one just downloaded.

When you run it again, it will update its other components and plugins, but no extras from the installer!