Here is the full list of all 27 Fort Triumph achievements.
Finish Act I
Defealt Galigarn, an outspoken opponent of mattresses.
Finish Act II
Save an unappreciative ally.
Finish Act III on Normal or higher
Finish Act III on Classic or higher
Finish Act III on Legendary
Win a Skirmish with every faction.
Have a hero with 3 cross-class skills