Here is the full list of all 32 Factory Town achievements.
Craft 1 Omnistone
Craft 1 Fire Crystal
Create 1 Water Crystal
Create 1 Earth Crystal
Create 1 Air Crystal
Create 1 Mana Crystal
Create 1 Berry Cake
Create 1 Fish Stew
Create 1 Meat Stew
Create 1 Veggie Stew
Create 1 Warm Coat
Create 1 Magic Cloak
Create 1 Elixir
Create 1 Crown
Create 1 Necklace
Create 1 Fire Ring
Create 1 Water Ring
Create 1 Iron Plate
Earn 1 Blue Coin
Earn 1 Purple Coin
Upgrade Base to level 10
Complete Campaign Map 1
Complete Campaign Map 2
Complete Campaign Map 3
Complete Campaign Map 4
Complete Campaign Map 5
Complete Campaign Map 6
Complete Campaign Map 7
Complete Campaign Map 8
Complete any Research
Earn 1 Red Coin
Earn 1 Yellow Coin