While I don’t know exactly why you would want to display your active WordPress plugins for the world to see, there may come a time where it’s necessary. The WordPress shortcode function on this page will do just that: render all your active plugins in a list (with optional link back to the plugin page)....
Display Active WordPress Plugins in a Post or Page with Shortcode, from Internoetics
Display Active WordPress Plugins in a Post or Page with Shortcode, from Internoetics