Here is the full list of all 55 EARTH DEFENSE FORCE: WORLD BROTHERS achievements.
Rescue another player that has fallen during co-op play
Complete 70% of the story
Rescue 50 Teammates that have fallen in battle
Use the Air Strike Ability a total of 100 times
Defeat 500 enemies using weapons in the Melee category
Use emotes a total of 10 times
Use the Sky Leap Ability a total of 100 times
Use the Valiance Ability a total of 100 times
Defeat 500 enemies using weapons in the Shotgun category
Use the Throw Ability a total of 100 times
Complete 60% of the story
Use the Dodge Ability a total of 100 times
Use the Trap Ability a total of 100 times
Use the Ninja Lightning Ability a total of 100 times
Use the Sprint Ability a total of 100 times
Defeat 500 enemies using weapons in the Rocket Launcher category
Use the Item Ability a total of 100 times
Use the Slide Ability a total of 100 times
Defeat 500 enemies using weapons in the Special Weapons category
Use the Swing Line Ability a total of 100 times
Complete 50% of the story
Complete 40% of the story
Defeat a total of 10000 enemies
Complete 30% of the story
Use the Booster Dash Ability a total of 100 times
Shoot down a cloud
Complete a mission with just a single Teammate on your team
Defeat 500 enemies using weapons in the Assault Rifle Type II category
Use the Charge Boost Ability a total of 100 times
Use the Sub-Attack Ability a total of 100 times
Complete all missions on any difficulty level
Complete 20% of the story
Defeat 500 enemies using weapons in the Artillery category
Rescue 5 Teammates that have fallen in battle
Use the Flight Ability a total of 100 times
Defeat 500 enemies using weapons in the Assault Rifle category
Complete a mission without taking any damage
Inflict 99,999 damage on an enemy with a single hit
Complete 10% of the story
Use SP Moves a total of 100 times
Defeat 500 enemies using weapons in the Close Range category
Use the Dodge Roll Ability a total of 100 times
Use the Spin Jump Ability a total of 100 times
Defeat 500 enemies using weapons in the Sniper Rifle category
Switch Teammates 20 times in a single mission
Complete the tutorial mission
Unlock all achievements
Complete 80% of the story
Complete 90% of the story
Complete 100% of the story
Reach 100,000 Armor with any Teammate
Reach Skill Level 10 with any Teammate
Recruit every Teammate
Obtain every weapon