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