Damocles Crusade
The Damocles Crusade (also known as the Damocles Gulf Crusade) was a major campaign against the Tau Empire by the Imperium of Man.
It began as a response to first contact between humanity and the Tau, during what the Tau called their Second Phase Expansion. The Tau's colonization efforts brought them across the Damocles Gulf, and they encountered human worlds on the other side. These frontier planets were easy to subvert, as they felt little attachment to the Imperium, and even when there were loyalist factions, they were in the minority.
The Imperium was not happy to be losing worlds to Tau rule, so they sent a Crusade to toss them out, and eventually crush them all the way back to their home. They were so serious about this Crusade that they printed a special edition of the Imperial Infantryman's Uplifting Primer just for Imperial Guard Regiments going to the Damocles Gulf. They were initially successful, but as the Tau brought more of their armies to the front, the Imperial advance slowed and eventually halted on the planet of Dal'yth Prime. This was mostly because the crusade had outrun its supply line by many years. You'd think the Imperium would know better than to do that by now. They aren't exactly inexperienced at war. In this case, they underestimated the Tau, who up until that point had only offered token resistance as they tried to evacuate worlds in front of the human advance and buy themselves time to recall their fleets to regroup at Dal'yth where they would make their stand.
Mind you, Dal'yth was a sept-world of First Sphere, meaning it was heavily fortified and there was shitton of fire warriors and auxiliaries garrisoned on it. Imperial fleet sustained heavy casualties even when approaching the planet, and while they managed to destroy or repel all Tau and Kroot spacecraft, literally every battleship of the crusade was damaged rendering the fleet useless for anything but guarding Munitorum transport ships till the end of campaign. Regardless, Imperial forces successfully made planetfall, and on the first day they crushed the garrison forces on their landing zones with relative ease. This was the only thing they got easy on Dal'yth. As war progressed, Imperial forces found themselves constantly harassed by Tau night raids, carpet bombed by thousands of Barracudas and Tiger Sharks, and ambushed by Kroot kindreds. Even with their overwhelming numbers and orbital bombardment support, Imperial forces was tied up by maneuverable Tau forces and unable to move far away from landing zones due to the supply lines being torn apart by stealth-teams. Thousands of Imperial Guardsmen clashed with Kroot and Fire Warriors, while Space Marines was engaged in firefights with Tau battlesuits. Imperial titans found themselves in fights with Manta destroyers, which wasn't favorable engagements for them at all, considering most Titan weapons aren't suited against fast flying targets. And yet humans advanced against all odds. Then Tau brought in reinforcements, lead by the now (in)famous commanders Shadowsun and Farsight, and Imperial reinforcements got lost in the Warp only to appear one hundred years later (ironically to help Tau destroy Hive Fleet Gorgon), and the conflict went to stalemate. Stalemated because, now that the crusade's supply line was who-knows-how-many years away, the rest of the Tau military had arrived. Not enough to stop the Imperium, of course, but enough to slow them until their lack of supplies eventually removed everything but lasguns and swords from play.
The Imperium probably would have kept throwing regiments and Titans at the Damocles Gulf, but that was when Hive Fleet Behemoth showed up and they needed every ship and guardsman they had to repel the invasion of Macragge, so they negotiated a cease-fire with the Tau and withdrew. The Tau Empire, shaken by the show of force from a power they thought weak and distant, tried to reassure the people and regain their expansion's momentum by re-taking all the worlds they had lost to the Imperium, and later launched the Third Phase Expansion to take further advantage of the Imperium's retreat.
At the end Tau learned valuable lessons about Imperium's strengths and weakneses, and their own blind spots (such as shitty merchant fleet), which they then patched ASAP. Imperium, being Imperium, learned nothing, making the same damn mistakes with overstretched supply lines and frontal assaults through killing grounds during Nimbosa Taros and Zeits campaighns, and ultimately loosing all of them, despite initial success.
Rematch
One of the upcoming Apocalypse War Zones is the "Damocles Rematch". It's the Raven Guard and the White Scars up against Sept T'au. The big centerfold is currently slated to be a pic of Khan and Shrike kicking Shadowsun's ass (not that anything will com from it, GW would never kill a character if it would mean advancing the plot even a little). They're also making a big deal about some "Obsidian Knight" guy.