He started his basketball career at Sporting in 1985. In 1990, he was acquired by ArisThessaloniki. Over the next nine years Angelidis played for the "emperor" of Greek basketball, winning the European Cup Winners' Cup in 1993 and the Korać Cup in 1997. On the domestic front he won two Greek Basketball Cups (1992 and 1998). He served as Aris' captain part of that time. His career was marred by his failure on May 12, 1999, to pass an anti-doping test prior to a game against PAOK which caused Aris to forfeit that game. The following year Angelidis transferred to PAOK where he played just one season (1999-2000). He also played for Dafni before retiring in 2001.