Greatest Misses is the first compilation album by American hip hop group Public Enemy.

[5] Composed of six new songs, six remixed singles from previous albums and a live performance from the British TV series The Word, it was released on September 15, 1992, through Def Jam/Columbia/Sony Music.

Production was handled by The Bomb Squad and Imperial Grand Ministers Of Funk, and remixes were provided by Damon Dollars, Jam Master Jay, Chyskillz, Jeff Trotter, DJ Chuck Chillout, Salaam Remi, Sir Jinx and Greg Beasley.

The album's only single, "Hazy Shade of Criminal" (namechecks serial killer Jeffrey Dahmer), reached number 27 in New Zealand.

The album was nominated for Best Rap Performance by a Duo or Group at the 35th Annual Grammy Awards, but lost to Arrested Development's "Tennessee".