Here is the full list of all 77 Ace of Spades: Battle Builder achievements.
Destroy 666 blocks as a zombie
Start the round as a zombie, and wipe out the highest number of enemy players
Playing as a zombie, make an enemy player fall to their death
Run 42 kilometers
Run 21 kilometers
Get ten kills in a row without dying
Repair 150 health in one game using health drops
50 headshots with the sniper rifle
3 kills with sniper rifle without missing a shot
Kill 5 zombies by shooting them in the face with the pistol
Kill 5 players as a zombie in the water
25 headshots with the sniper rifle
As last man standing take out at least 5 zombies in one round
Survive to the end of a round of Zombie
Take out 3 survivors in 1 round
Get five kills in a row without dying
Start the round as VIP and kill the highest number of enemy players
Start the round as VIP, kill no enemy players, and survive anyway
Pick up a diamond within 5 seconds of it spawning, and make it to a dropoff point without dropping it
Find and drop off 3 diamonds in one match
Steal and drop off 5 diamonds found by the enemy team before they pick them up
Intercept 10 diamonds carried by the enemy team and make it to a dropoff point
Be the only player to score points from a hill before it vanishes
Trigger 5 airstrikes and survive
Trigger an airstrike and survive without leaving the hill
Take control of 10 contested hills
Retain control of 10 contested hills
Take out 50 enemy players while you are in an active hill
Take out 50 enemy players while they are in an active hill
Drop a bomb in the enemy base and survive
Pick up a bomb from a spawn point and make it to the enemy base without dropping it
Intercept 5 bomb carriers and defend the bomb until it detonates early.
Be the final player to plant a bomb successfully, and then win the round.
Repair 100 blocks of damage to your base
Cause 100 blocks of damage to the enemy base in one round
Cause 500 blocks of damage to the enemy base over multiple rounds
Be the final player to cause damage to the enemy base and win
Demolish a structure of 50 blocks or more using the minigun
Make someone fall to their death using rocket launcher knockback
Demolish 5 structures of 100 or more blocks using a grenade
Kill 10 enemies with the spade
Kill 5 players with landmines placed on the ground and re-buried
Kill 10 enemies with the pickaxe
Kill 20 enemies while using the jetpack
Kill an enemy while he uses a jetpack
Kill 10 enemies with the SMG while using the jetpack
10 headshots with the shotgun
Destroy 1000 blocks of enemy bases in demolition mode using the drill gun
Kill 10 enemies by placing dynamite below them then blowing out the floor
Kill 10 enemies with 1 turret
Destroy 100 blocks by evading an enemy turret
Collect a full resupply of ammunition in one game
Destroy the Terracotta Army
Lunar Base: Destroy the monolith with the rocket launcher
Destroy the large bell at the top of Big Ben
Melee kill an enemy while standing near the temple altar
In demolition mode, destroy all the pillars in the enemy building lobby
Destroy the nose of the Sphinx
Kill 10 enemies while hiding in the tunnel under the arena
Kill 5 zombies while hiding in the basement
Playing as a zombie, demolish the mansion's towers
Kill 3 enemies with 1 explosion
Dragon Island: Destroy the stone dragon
Intercept 5 enemies stealing your intel and defend it until it returns to base.
Intercept 10 enemies stealing your intel and defend it until it returns to base.
Score 50 headshots with the classic rifle
Score 5 direct hits with rockets while airborne
Knife 10 zombies
Get fifteen kills in a row without dying
Kill ten players when your health is below 10% over multiple rounds
As last man standing take out at least 10 zombies in one round
Survive for 28 seconds as last man standing in one zombie round
Survive as last man for 10 minutes total over multiple zombie rounds
Spend a total of an hour in the air
Kill 3 enemies in 20 seconds with the semi-auto sniper rifle
6 kills with sniper rifle without missing a shot
Kill 5 players while carrying the intel in classic