Here is the full list of all 12 Puzzle Quest: Challenge of the Warlords trophies - there are 7 bronze, 4 silver and 1 gold.
Complete Advanced Combat Training.
Defeat 5 opponents.
Capture a Mount.
Research a Spell.
Defeat Dugog.
Defeat Mechataur.
Rebuild Sartek.
Complete your citadel.
Gain 5 companions.
Forge a Godlike item.
Reach level 50.
Defeat Lord Bane.