Here is the full list of all 38 House of the Dying Sun achievements.
To free the galaxy.
Survive for at least 10 battles in Challenge Mode.
So I could rest.
Run over a traitor lord's escape pod.
Assassinate Lord Commodore Ganuun.
Assassinate Commodore Freyv.
Purchase all upgrades.
Because this isn't real.
Assassinate The Traitor King.
Assassinate Kingsclone B1.
Assassinate Kingsclone A1.
Assassinate Princess Admiral Du Moch.
Assassinate Prince Aum.
Assassinate Traitor Admiral Alfmundur.
Assassinate Traitor Admiral Anrune.
Assassinate Lord Commodore Naybard.
Assassinate Lord Commodore Seigfast.
Assassinate Commodore Elduette.
Assassinate Commodore Ausgauth.
To avenge the Emperor.
Earn a second wingman.
Earn a frigate for your fleet.
Destroy an escape pod.
Complete host uplink training.
Add a destroyer to your fleet.
Assassinate Traitor Admiral Bergautur.
Purchase an upgrade.
Earn a wingman.
Complete a bonus objective.
Complete a mission on Invader or higher.
Complete a mission on Warlord or higher.
Complete a mission on Harbinger.
Survive for at least 5 battles in Challenge Mode.
Destroy a vessel while inside its shields.
Complete at least 1 battle in Challenge Mode
Earn a new weapon.
Because I love to kill.
Because I am not human.