Answer
The answer to Van Damme's breakout film role is "Bloodsport". Released in 1988, Bloodsport launched Jean-Claude Van Damme to stardom. It's a martial arts action film inspired by the real-life experiences of Frank Dux, a martial artist who claimed to have participated in a secret underground kumite tournament. The film's success solidified Van Damme's position as a notable action star and paved the way for his subsequent successful film career.