Barrasso is a five-time Vezina Trophy finalist (1984, '85, '88, '93, '98), awarded to the NHL's top netminder, and won the award during his rookie campaign in 1983-84 while with Buffalo. That same season, he won the Calder Trophy, given to the league's 'rookie of the year'. The netminder also led the NHL in wins (43) during the 1992-93 campaign, helping the Penguins capture their only Presidents' Trophy in team history, which is awarded to the team with the most regular-season points.