WATCH: Jewish Metaphysics of Baseball by Rosh Hayeshiva of Ohr Somayach, Rav Nota Schiller Shlit”a,
Yankee Stadium has glatt kosher stands and Mincha or Maariv (depending on whether it is a day or night game) during the Seventh Inning Stretch. Weekday soccer in israel has Maariv during the break. Apparently some people think it’s permitted. I don’t know if it is considered a sport but many gedolim played chess as bachurim. One future gadol, upon beating his opponent (also a future gadol) commented that he needed to know that he can’t always win.