The all-time list of New York Giants draft picks includes Hall of Famers, Super Bowl champions and Pro Bowlers. From Tuffy Leemans in 1936 to Odell Beckham Jr. in 2014, each decade seems to offer a candidate for the honor of best Giants pick ever. But as proud a history as this franchise has, no single pick has impacted the game as much as Lawrence Taylor, the No. 2 overall pick in 1981.