The major sport played in soldier field is soccer. Also, pro lacrosse has been played there recently.
baseball, sort of
Field hockey in all its forms has fulfilled the definition of a sport for as long as it has been played.
Dhyan Chand played the sport of field hockey.
He played Track and Field.
Track and Field
The sport you are referring to is Hurling, which is the fastest field game in the world.
The oldest collegiate sport is known for being track and field. Track and Field has been played since ancient Greece.
Soccer and football are both played on the same field, at least in high school. Also there is a certain college that has a football field on top of their baseball field. Also I think Football and Rugby are played on the same field