Warriors are a really, really good matchup for us. Unless they have two hell cannons and are sitting in a corner, they're almost guaranteed to have to come after us to get points. That means they have to fight us. That means we can smash them.
Vampire lords, wight king with the night shroud, terrorgheists, lots of chaff, units of skeletons WITH A CHAMPION.
Nothing kills solo chaos characters (lords and heroes alike) quite like big bricks of skeletons. Charge in, challenge with the champion. He *has* to accept. If he's got a great weapon then the demonic mount / disc kicks the champion to death. Lord doesn't get to attack. You win by charge + 3 ranks + banner to his 1-2 wounds. Chaos leadership is...actually not all that great.
Wanna kill a warshrine? Unit of skeletons. You'll never wound it, but it really doesn't have all that many attacks. Eventually it will fluff, and then you'll break it on SCR and run it down.
Everything else can be killed by terrorgheists and vampire lords. I'm hesitant to throw a VL into a demon prince, as they're mean as shit and even nightshrouded you don't get rerolls and hit him on 5s. However I will happily throw him into anything else.
Night shroud is key, though. You'll struggle against more than 1 3++ chaos hero, but with the shroud you can take 2 easy. 3 is...more concerning, but still possible.