Biggest bullets your team dodged in the draft
We'll limit this discussion to when you started following your team's drafting, so no need to go back to ancient history. Who were the players whom, at the time of the draft, your team was seriously considering or you really wanted them to draft, only for their careers to later turn out to be a disappointment or worse (and subsequently, made you breathe a sigh of relief that your team didn't take that player)?
Probably the biggest example of a dodged bullet is Ryan Leaf for the Colts. Prior to that draft, there were reports coming out that the Colts were having trouble choosing between Peyton Manning and Ryan Leaf (supposedly, reports later said they'd targeted Manning from the start, and the Leaf rumors were just to not give away their hand, but we're going by what was being reported on at the time).
For the Eagles, I remember really wanting CB Ahmad Carroll in 2003. At that time, our starting DBs were getting older, and the young guys we'd drafted in 2002 had not yet fully developed. We wound up trading up and grabbing DE Jerome McDougle (a bullet we didn't dodge; injuries and misfortune ravaged his career), and Carroll landed in Green Bay, where he was cut after a few seasons for being horrible in coverage.