Stavrakopoulos started his club playing career with Ampelokipoi, in the Greek minors, at the age of 16.
He led the team to be promoted all the way up from the local ESKA category, to the top-tier A1 professional level Greek League.
With Aris, he won the championship of the FIBA Korać Cup's 1996–97 season.
Stavrakopoulos played with Greece's junior national team at the 1993 FIBA Under-21 World Cup.
He also played with the senior Greek national team at the 1995 EuroBasket.