In the 1970s and 80s, the Royals and Yankees had a heated rivalry, facing each other in the American League Championship Series four times. The Yankees won three of those matchups, winning championships in 1977 and 1978. The Royals got bad in the 90s while the Yankees built a dynasty. But the last 15 years have been much less heralded for the Bronx Bombers. They last won a title in 2009, and have not won a pennant since then.
Kansas City Royals (86-76) vs. New York Yankees (94-68)
Royals: 4.54 runs scored/game (13th in MLB), 3.