After graduation, Apergis performed on the stage and on screen. He was better known, however, from his participation in TV series such as «Ο Άγνωστος πόλεμος» (The Unknown War), «Γειτονιά» (The Neighbourhood), «Ιστορίες αγάπης» (Love Stories), etc.
Apergis served six consecutive four-year terms in the Athens City Council. He served as deputy mayor.
He was married to actress Mary Kyvelou who had pre-deceased him. The couple had one son.