When the Orioles erased a three-run deficit Tuesday and took the Mariners to extra innings, Seattle might as well have conceded the game. Right now, Baltimore is the undisputed king of baseball overtime.

The Orioles' 14-inning win was their 12th consecutive in extra-inning games this season—the fourth-longest streak in baseball since 1918. The 1995 Indians were the last team to win at least 12 straight extra-inning games; the last before that was the 1959 Pirates.

Even...