34. Ron Guidry Strikes Out 18
In their illustrious 100-plus year history, the Yankees never had a pitcher have a year like Ron Guidry's 1978. He won the Cy Young on the strength of a 25-3 record, 1.74 ERA, and nine shutouts. In the middle of the year, with the Yankee Stadium faithful giving him a standing ovation every time he got two strikes on a hitter, Guidry struck out 18 Angels to set a franchise record. Suffice it to say, if you hold a Yankees franchise record, you're doing something right.