Wiktionary
big-league
a. 1 (context US English) major-league 2 (context US English) (''by extension'') large or important
Usage examples of "big-league".
Only in the irrational realm of big-league sports can two of the richest guys on the planet sit back and watch suckers plead for the privilege of building them a palace.
Like a fast ball hurled by a big-league pitcher, the arrow could be caught in the hand, but would knock for a loop anyone it hit in the head.
Mike Flanagan was pitching, and looked to be on his way to another Cy Young Award, and the rookie shortstop the Orioles had just brought up was playing particularly well, and looked to have a big-league future.