When the NFL comes up with a new rule to make sure referees can't make the same mistake again, that is basically the definition of screwing up a call.
In the 2000 playoffs, the Tampa Bay Buccaneers were on the road against the high-powered offense of the St. Louis Rams.
With the Buccaneers down 11-6 with under a minute remaining, Bert Emanuel made a 13-yard reception deep in St. Louis' territory to give Tampa Bay a real shot at pulling the upset.
Emanuel had complete control of the ball, which resulted in a completed pass being the call on the field.
However, the booth wanted to review the play, and under further review, they saw that the nose touched the ground at the end of the reception, which resulted in the play being called an incomplete pass.
This horrible replay call forced the NFL to redefine what constitutes as a reception in a game.