My first fleet, half a year later.

Note the list to the left. Not mentioned light cruisers: The Worshiper of Envy (Hellbringer), The Spark of Tzeentch (Hellbringer MkII, Tzeentchian), Lancefu_ker and Lancemurder (Hellbringers MkII, Slaaneshi). And of course all those cute little escort ships far ahead.
Despite Mark of Nurgle being one of the most useful, there are no Nurglite ships in this fleet. Also just one Khornate ship (to think about it, dedicating a Devastation for Khorne was a mistake, that mark goes better with brawlers like Murder, Carnage or Hades) and a number of Slaaneshi ships for more Ork/Eldar hate.
The game explicitly says "Imperial and Chaos fleets are perfect for beginners". That is true to some degree; while Imperial fleets requires knowledge of using some macroabilities (ubiquitous torpedoes), Chaos requires more maneuvering: their ships are not very resilient. However these are fastest human-built ships armed predominantly with longer-range weaponry, and there are a lot of carriers in their fleet.
And no, I still didn't get to stomp around on the Planet Killer.