Here is the full list of all 43 Ignis Corruption achievements.
Create a market
Build your first defense tower
Kill your first enemy
Survive day 1
Create a beet plantation
Create your first harvester
Create 1 villager
Lose a unit to enemy forces
Get hit by a meteor
Search for an improvement in the library
Build a windmill
Place a hunt house
Place 5 houses
Win a match without failing any missions
Successfully complete the first mission in the game
Successfully complete 15 missions
Knock down 50 trees
Cut down 500 trees
Cut down 2000 trees
Extract 15 gold mines
Extract 200 gold mines
Extract 450 gold mines
Extract 50 sources of iron
Extract 300 sources of iron
Extract 50 stone
Extract 450 stone
Kill 35 enemies
Kill 100 enemies
Kill 5 wild animals
Kill 75 wild animals
Kill 150 wild animals
Survive day 7
Survive the 15th
Win your first match
Win 3 games in a row
Create 10 villagers
Create 5 warriors
Create 15 warriors
Get 1000 wood
Get 1000 stones
Get 800 irons
Get 500 gold
Get 1000 food