Achievements are still a bit buggy. I'm missing the "Liegeman" and "It’s Just Business. Nothing Personal..." and "Centurion", despite doing all the things listed.
You can't get Liegeman as a Praetor or if you're already were a Liegeman of another House. At least that's how it worked for me.
Centurion - you get it for Diplomatic solution of Antidas vs Carrinas situation. You get only Legionary and Legatus in IG quest line.
About the business one, that's what vince said on the Steam forums:
Assassin's questline. Make a deal with Levir (get the gold you came for and safe passage in exchange for an unspecified favor). When you kill Lorenza and leave her house, you'll be approached by one of Levir's men. Go with him.
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