Here is the full list of all 29 Mutant Meltdown achievements.
Kill your first enemy.
Set survivors searching for loot for the first time.
Set survivors collecting wood for the first time.
Survive for 100 turns.
Survive for 200 turns.
Survive for 500 turns.
Survive for 1000 turns.
Survive for 2000 turns.
Equip all slots on a survivor.
Equip 3 military items on a survivor.
Remove trees with fire.
Kill a mutant soldier.
Build the Wood Wall and Spiked Wall on a camp.
Reach 100 radiation with a survivor.
Get your first mutation on a survivor.
Heal a character with 1 HP
Kill a fat Mutant
Kill a Mutant screamer
Kill a mutant with a Proximity Mine.
Throw a grenade.
Attach a mod to a weapon.
Craft an item for the first time.
Craft an item at the lab.
Repair a car in the garage.
Kill a Nightly Mutant.
Build a Communications Tower.
Collect all Rocket Components.
Launch the rocket to the moon!
Kill a Super Mutant Brute.