Front-end editing in Joomla 3 is a bit limited. How could I add more features to it such as the "alias" or the "association" tab, or maybe to get on the front-end the same features than in backend?
First of all - alternate template (place template file in your template/html/com_content directory).
Article to help you: http://docs.joomla.org/Layout_Overrides_in_Joomla
Then - add new editing options to altered template. You can use existing options as refference.