The answer.....Justin Tuck, who was taken by the Giants in the third round of the 2005 NFL Draft. The Giants did not have a first round pick that year - it was part of the deal that yielded Eli Manning the year before, so the Giants only had four selections in '05.
In the second round that year, the Giants chose LSU CB Corey Webster. They followed with Tuck in the third, RB Brandon Jacobs in the fourth and DE Eric Moore two rounds later. Webster and Tuck are still with the club; Jacobs just left vis free agency and Moore has been bouncing around after getting released by the Giants in 2006. He played two games for the Patriots last season.
Eric Dorsey was selected by the Giants with the 19th pick in the first round of the 1986 draft. He played six seasons for the Giants and collected two Super Bowl rings. He recorded just seven sacks during his time in Blue.
In 1992, the Giants made TE Derek Brown (right) the 14th overall selection in the draft. Of all of the Giants' draft picks in the post-merger era, you'd have to agree that this may have been their biggest misfire at the draft table. Brown only played three years for the Blue catching a mere eleven passes for 87 yards in 45 games played.
Luke Petitgout was the Giants' first round selection in the 1999 draft. Unlike Dorsey and Brown before him, Petitgout was reliable and productive, starting 106 games over eight seasons for the Giants. He was released in 2007 after a broken leg cut his 2006 season short and finished his career with Tampa Bay.