Here is the full list of all 43 Blast Them All achievements.
Survive wave 1
Survive wave 10
Survive wave 20
Survive wave 30
Survive wave 40
Reach a score of 4500
Reach a score of 100k
Reach a score of 500k
Reach a score of 1M
Reach a score of 2M
Throw a sticky grenade onto 1 enemy
Throw a sticky grenade onto 10 enemies
Throw a sticky grenade onto 100 enemies
Achieve 50 kills with assault rifle
Achieve 500 kills with assault rifle
Achieve 5000 kills with assault rifle
Achieve 50 kills with the machine gun
Achieve 500 kills with the machine gun
Achieve 5000 kills with the machine gun
Achieve 50 kills with the rocket launcher
Achieve 500 kills with the rocket launcher
Achieve 5000 kills with the rocket launcher
Achieve 50 kills with the shotgun
Achieve 500 kills with the shotgun
Achieve 5000 kills with the shotgun
Achieve 50 kills with the sniper
Achieve 500 kills with the sniper
Achieve 5000 kills with the sniper
Achieve 10 kills with the grenade
Achieve 100 kills with the grenade
Achieve 1000 kills with the grenade
Achieve 50 kills with traps
Achieve 500 kills with traps
Achieve 5000 kills with traps
Perform 10 kills with a single grenade
Perform 2 kills with a single sniper bullet
Pick up 10 weapons
Pick up 100 weapons
Pick up 1000 weapons
Pick up 10 collectibles
Pick up 100 collectibles
Pick up 1000 collectibles
Fill in all leadboard entries