Chuck Klein, Lou Gehrig and Ted Williams. Each won a Triple Crown title without being the MVP, and Williams actually managed to pull off this curious feat twice.
In Klein's case, he lost the 1933 MVP award to Carl Hubbell, the New York Giants pitcher who had won 23 games with a 1.66 ERA. The next season, Gehrig, despite the Triple Crown, finished fifth in the voting, the award going to Mickey Cochrane, a far inferior batter who was given the honor for helping the underdog Detroit Tigers win the American League pennant.
For Williams it was two Yankees named Joe, Gordon and DiMaggio, who took the league's top prize, respectively, in 1942 and 1947, despite his statistical superiority.
NEW YORK TIMES