One of the prevailing characteristics of new generations, especially Gen Me, has been the increase in self esteem and in narcissistic traits in their personality. The focus, compared to previous generations, has been transferred from others to the self. The attitudes and the skills of new generations have been affected, as a result. This study explores the differences, regarding the narcissistic behavior between university students of today and their parents, in Greece. The findings suggest significant differences in narcissism between different age groups.