I believe the Be’er Moshe held not to play ping pong.Tge whole bike issue is discussed by the Ben Ish Chai in his Rav Pa’alim where he says its mutar,however his Talmud the Kaf Hachaim assurs it.
where is that Yerushalmi about ball playing Taanis or Megilah I don’t remember.
There is also that Mishna Brurah who Quotes Rav Sasson who holds chess is assur to play and shabbas and even during the week if I am remembering correctly.