Here is the full list of all 14 Ironcast trophies - there are 11 bronze, 2 silver and 1 gold.
Win a Battle mission at mission 3 or later without using any defences
Fill all Ironcast Ability and Passive Augmentation slots in one campaign
Upgrade an Ironcast to over 1,250 HP in a single campaign
Complete a Battle mission at mission 3 or later without taking any damage
Win a Battle with less than 5% health left
Defeat Commandant René Durant
Keep both Shields and Drives active for 5 turns
Obtain 100 Commendation tokens
Match 20 or more nodes in a single chain
Purchase a new Ironcast or Commander using Commendation tokens
Your Ironcast has been destroyed by overheating damage
Create a match chain with 4 different types of node
Kill 3 Enemies in one mission
Defeat the final threat facing Britain