Thurman Munson was named the Yankees captain in 1976 and kept the title until 1979. The Yankees would lose the World Series to the Cincinnati Reds in 1976 but would win back to back World Series in 1977 and 1978 behind the bat of Reggie Jackson. The Yankees would not make an appearance in the 1979 World Series with the Pittsburgh Pirates beating the Baltimore Orioles but what else happened in 1979 would hurt the Yankees and Munson more. Munson owned his own plane and was taking flying lessons because he got so homesick and wanted to be able to go to Cleveland to his family whenever he wanted. Thurman was practicing taking off and crashed his plane on August 2, 1979 and died.
Don Mattingly was named the Yankees captain in 1991 and would keep the title until he retired after the 1995 season. The Yankees were generally a terrible team when Don Mattingly was on the team only making the playoffs once in his tenure in 1995. A strike shortened 1994 season would have probably seen the Yankees in the playoffs as well but we will never know but the greed of the MLB Players Association is a discussion for another day. Mattingly injured his back in 1987 though and was never the same after that season and would prematurely end his career after allegedly horse playing with teammate Bob Shirley.
Derek Jeter has five World Series rings,a Rookie of the Year award, 13 All Star Game appearances, a World Series MVP award, has gotten an MVP vote in 12 seasons and finished as high as 2nd place in 2006, has five each of Gold Gloves and Silver Slugger awards, and would have earned $261,159,364 in his baseball career before any kind of endorsements and such by the time his current contract was up after the 2014 season. What curse? If there was one Mr. Derek Sanderson Jeter definitely broke that.