Andrei Socaci had the following podium finishes at major championships: 2nd in the 1984 Olympics Lightweight class (312.5 kg); 2nd in the 1984 World Championships Lightweight class (312.5 kg); 3rd in the 1985 World Championships Middleweight class (355.0 kg); 3rd in the 1986 World Championships Middleweight class (350.0 kg); 2nd in the 1990 World Championships Middleweight class (345.0 kg); 3rd in the 1986 European Championships Middleweight class (350.0 kg); 2nd in the 1987 European Championships Middleweight class (367.5 kg); 2nd in the 1988 European Championships Middleweight class (350.0 kg); 3rd in the 1990 European Championships Middleweight class (352.5 kg); 1st in the 1991 European Championships Middleweight class (350.0 kg); 2nd in the 1992 European Championships Middleweight class (350.0 kg).