Robinson's most notable game was in week 13 of the 1986 season, when the Giants were playing the 49ers on Monday Night Football. The Giants trailed 17-0 at halftime, but scored three touchdowns in the third quarter to win the game. Robinson caught the second touchdown, a 34-yard pass from Phil Simms, but he made an incredible grab on a 49-yard pass from Phil Simms, down to the 1-yard line, to set up the Giants' final score. He finished with 5 catches for a career high 116 yards receiving as the Giants won 21-17. The Giants went on to win Super Bowl XXI that season over the Denver Broncos, and Robinson caught three passes for a team high 62 receiving yards in the big game.
During last game of the regular season between the Giants and Jets, after leading most of the game the Giants were down 21-20. Phil Simms threw a Hail Mary pass. The announcer said "Going in for Stacy Robinson and Friends" at which time the ball fell to the ground. The Giants lost the game and were eliminated from the playoffs by their crosstown rivals who had been out of the playoffs for weeks.