Mincher belted more than 20 homers five times in his first seven years as an everyday player. All told, over all or parts of 13 MLB seasons, Mincher batted .249, with 1,003 hits, 176 doubles, 16 triples and 200 homers. He collected 643 runs batted in and was elected to the American League All-Star team twice (1967 and 1969). As one of two representatives for the Seattle Pilots in 1969 (their only season in existence before becoming the Milwaukee Brewers), he also holds the distinction of being the only player to ever play in an All-Star Game as a Pilot; Mike Hegan also was selected to the team as a reserve, but did not appear in the game. The following season, Mincher slugged a career-high 27 homers as a member of the 1970 Oakland Athletics. His playing career ended after the 1972 season, which saw the 34-year-old Mincher hit only .148 , mostly as a pinch hitter, after Oakland reacquired him from the Rangers on July 26. But in the 1972 World Series, Mincher's ninth-inning pinch single in Game 4 off Clay Carroll drove home the tying run, as the Athletics came from behind to defeat the Cincinnati Reds, 3–2. Mincher's name appeared in the box scores of two other games, but he never officially batted in either contest when he was replaced by a right-handed pinch hitter. Oakland defeated Cincinnati in seven games, earning Mincher a World Series championship ring.