Aged 18, Stângaciu signs for FC Braşov but after only two years is signed by Steaua Bucureşti, being the second goalkeeper option of the coach Emerich Jenei. As Helmuth Duckadam retired from football in 1986, Stângaciu becomes the first option of the new coach, Anghel Iordănescu.
He spent the season 1988 - 1989 on loan to FC Olt Scorniceşti, as Steaua preferred to sign Silviu Lung, but returned in Bucharest one year later.
In 1995 starts his adventure in the Turkish Premier Super Football League, playing for Vanspor and Kocaelispor.
He retired in 2001 and since then was for a while the goalkeepers' coach at FCU Politehnica Timişoara.
Stângaciu was Romanian football champion in 1985, 1986, 1987, 1988, 1989, 1993, 1994, 1995, won the Romania Cup in 1987 and 1992 and the Turkish Cup in 1997. He also won five caps for Romania, being part of the squad who played at the World Cup 1998.
On 25 March 2008 he was decorated by the president of Romania, Traian Băsescu for the winning of UEFA Champions League with Ordinul "Meritul Sportiv" - (The Order "The Sportive Merit") class II.