Here is the full list of all 50 Earth Defense Force: Insect Armageddon achievements.
Kill 10 Bomber Spiders
Destroy 1000 Gunships
Destroy 500 buildings
Destroy 500 cars/vehicles
Kill 10 Mantises
Destroy 10 Carriers
Get 500 kills with Base Turrets
Kill 5000 enemies
Get 250 kills with the Lander Turret
Kill 10 Small Hectors
Beat the game on Normal
Kill a Queen Ant
Kill 10 Wasps
Kill a Large Hector
Incapacitate a teammate
Kill 1000 Ants
Kill a Mantis
Kill 100 Ticks
Kill a Daddy Long Legs
Destroy 500 world objects
Destroy 10 Anthills/Spider Nests
Kill 100 Spiders
Unlock all armors
Destroy 100 Gunships
Kill 100 Ants
Revive a teammate
Kill 10000 Ants
Make it through 5 Survival Mode Waves in One Session
Kill 10000 Spiders
Kill 5000 Ticks
Kill 100 Small Hectors
Kill 100 Wasps
Destroy 10000 Gunships
Survive 100 (total) waves in Survival mode.
Kill 25000 Enemies
Destroy 100 Carriers
Destroy 100 Anthills/Spider Nests
Collect All Dropped Weapons
Level up an armor completely
Level up all armors completely
Purchase all available weapons for a single armor
Purchase all weapons for all armors
Revive 250 teammates
Survive 500 (total) waves in Survival mode
Get 1000 kills in Survival mode
Get 10000 kills in Survival mode
Get 500 kills with the Mech
Get 500 kills with the Tank
Beat the game on Hard
Beat the game on Inferno