It goes back further as well.
2010: Kyle Wilson - one year starter, not re-signed, out of the NFL a year later.
2009: Mark Sanchez - as a side note, the Jets traded away their 2nd and three players to move up for the Butt Fumbler.
2008: Vernon Gholston - cut after three seasons (five starts).
2005: traded away their 1st for Doug Jolley (who was traded a year later for a 6th) and a 2nd (used on a kicker who did not re-sign).
2004: Jonathan Vilma, who was good - but did not re-sign.
2003: DeWayne Robertson at #4 overall - did not re-sign, out of NFL a year later.
2001: Santana Moss - traded to Wash, became a Pro Bowler 1st year there.
1998, 1999 - traded away
1997: traded #6 away (Walter Jones). Received a #8, James Farrior, who the Jete played in just 3 games; he went on to play seven seasons w/Pittsburgh, winning two rings and is the Steelers HoF.
1996: Keyshawn Johnson, #1 overall - traded
1992: Johnny Mitchell - walked as free agent after 4 seasons; played in just 4 more NFL games after that.
1991: no #1 after taking WR Rob Moore in supplemental draft; his best years came after leaving NYJ for Arizona.
1991: top pick (2nd round) was QB Browning Nagle, who lasted 3 seasons (3-10).
1990: Blair Thomas #2 overall; 5 TD in 4 seasons, left as a free agent.
1989: FB Roger Vick - 317 yards in 3 seasons - traded for a 6th round pick.
1986: G Mike Haight - 3 year starter.
1984: traded starting QB Richard Todd for a #15 pick (DL Ron Faurot) - cut after two seasons.
1982: LB Bob Crable - 3 year starter
1980: WR Johnny 'Lam' Jones, #2 overall - only one season with more than 500 yards or 3 TD; almost as many fumbles as TDs.
To be fair there were some good picks (D'Brickashaw Ferguson, Jonathan Vilma, Al Toon, Ken O'Brien) and one Hall of Famer (Darrelle Revis), but overall it is an underwhlming Jet-itude of suckiness.