A big league is a major league in any sport - the highest level at which a person can play.
Major League Baseball.
The sport baseball typically uses the phrase 'play ball'. The phrase 'play ball' is widely used in anything from little league baseball to major league baseball.
Probably baseball because that was a popular sport in his time.Correction:He did play baseball, he was the sport stop on his little league team until he was 16
The Denver Broncos are a part of the National Football League.
The Brisbane Broncos play the sport: Rugby League. They compete in Australia's most watched domestic competition the NRL (National Rugby League)
We play cricket, NRL (National Rugby League) and AFL (Australian Football league) mainly
Scott Dunn is a Major League Baseball player.
Rugby league is the national sport of Papua, New Guinea. Almost half the population under the age of 20 play rugby league.
Basketball for the Los Angeles Lakers in the NBA league.
The Tigres de Aragua play baseball, in the Venezuelan Professional Baseball League.
The Bruins play at the TD Banknorth Garden.