On October 19, 1982, Stuper pitched a complete game as the Cardinals defeated the Milwaukee Brewers, 13-1, in the sixth game of the 1982 World Series to tie the series at three games each. The Cardinals won the seventh game the following day by a score of 6-3.
Stuper is currently the head coach for the Yale Bulldogs baseball team. The 13th Yale head coach, Stuper has led the Elis to three Red Rolfe Division titles and two league championships. His 1993 squad was his best, winning a school-record 33 games, earning an NCAA Regional appearance, and setting numerous school records, including 160 stolen bases in 44 games. He earned 1993 New England Division I Coach of the Year and Northeast Region Division I Coach of the Year honors. His overall record at Yale is 237–261.
National champion Conference regular season champion Conference regular season and conference tournament champion Division regular season champion Division regular season and conference tournament champion Conference tournament champion