Before he was a household name, Kevin Costner got his big acting break in 1987, but only after Don Johnson turned down the same role. Looking back, it's hard to remember a time when Kevin Costner wasn't one of the biggest stars in Hollywood. Costner's best films include some of the best Western movies ever made, some great dramas, and more than a few iconic sports movies. He's been a superstar for decades now, and like every other superstar, he owes it all to a single breakthrough role. Unlike other actors, however, Costner almost didn't get the part in his breakthrough movie.