Black Crusade
Just as the Imperium of Man wages Crusades against Xenos and Chaos, starting with the Great Crusade, led by the Emperor of Mankind Himself, the minions of the Ruinous Powers have launched several Black Crusades against the civilizations of the galaxy.
Horus Heresy
The biggest Black Crusade of all, when Warmaster Horus, Primarch of the soon-to-be Black Legion, led his Legion and eight others, the very first Chaos Space Marines, to try and overthrow the Emperor. They left the Imperium in ruins, but were narrowly defeated in orbit around Terra.
Abaddon's Black Crusades
Ezekyle Abaddon, Warmaster of Chaos, is the most prolific Black Crusader. He has launched thirteen Black Crusades in his ten millennia of serving Chaos, and he opens each one with the same words Horus used to launch his Heresy (which, since Abaddon is hinted to be a clone of Horus, might be retroactively called the Zeroth Black Crusade): "Let the galaxy burn!" His Black Crusades also end in the same way that the Horus Heresy did: failure. The Black Legion gains and loses ground in and around the Eye of Terror, but Abaddon hasn't gotten anywhere close to conquering Terra in the ten thousand years since the Horus Heresy. These constant failures have not escaped the eyes of the fanbase, and GW tried to explain that the previous twelve were simply aimed at gathering various superweapons for the 13th Black Crusade. Though the 13th Black Crusade did allow Abaddon a foothold in Cadia, he's unable to solidify his gains.
/tg/ has gotten tired of the so-called "Failbaddon's" antics, and so somebody decided to take matters into his own hands and launched Abaddon Quest, in which /tg/ controls Abaddon's 14th Black Crusade. He's doing much better this time around (baring a few acts of sexual deviancy that even Chaos Marines found unsettling).
Other Daemon Princes
Abaddon is not the only favored son of Chaos; other Daemon Princes have launched their own Black Crusades now and then. Obviously, they haven't done any better than Abaddon did, or we would have heard more about them! lol, they've actually managed to succeed at their Crusades. Thus making them superior to Abaddon. Granted their ultimate goals aren't as grandiose, but hey, wins are wins.
The Role-Playing Game
Not content with limiting their Warhammer 40,000 RPG to Imperial player characters, Fantasy Flight Games has recently released a gameline entitled Black Crusade, in which players take the roles of Chaos Cultists and Chaos Space Marines and wage war in the name of Chaos, hoping to earn enough Infamy to become Daemon Princes when their Corruption is maximized. If they fail, they become Chaos Sp-...wait I feel it coming on! But I didn't even say *Glarbalablabl!!*