Here is the full list of all 41 SG/ZH: School Girl/Zombie Hunter achievements.
Use an Underwear Trap for the first time.
Clear a Boss mission for the first time.
Defeat a total of 1,000 enemies.
Obtain all shoes.
Clear Chapter 2.
Clear a Timed Survival mission for the first time.
Use a Club Attack 10 times in a single mission.
Clear a Fetch mission for the first time.
Clear Chapter 1.
Undress 3 people during a single mission.
Undress for the first time.
Use Mayaya for the first time and clear a mission.
Obtain shoes for the first time.
Use Rei for the first time and clear a mission.
Use Enami for the first time and clear a mission.
Defeat a total of 100 enemies.
Obtain a new weapon for the first time.
Use Risa for the first time and clear a mission.
Use a Club Attack for the first time.
Obtain an oufit for the first time.
Defeat Charon for the first time and then clear a mission.
Defeat all Charons in one mission, then clear the mission.
Clear a Destination mission for the first time.
Use Sayuri for the first time and clear a mission.
Clear a mission for the first time.
Attack a zombie's weak point for the first time.
You achieved everything!
Defeat a total of 10,000 enemies.
Obtain all weapons.
See the ending by beating the game.
Obtain Rank SSS in all offline missions on all difficulty settings.
Defeat all Charons and then clear any mission.
Defeat a total of 5,000 enemies.
Obtain 50% of all weapons.
Obtain all oufits.
Clear all offline missions on all difficulty settings.
Clear Chapter 3.
Clear Chapter 4.
Clear Chapter 5.
Defeat Ren by yourself in an offline mission or hosted online mission.
Defeat Die Jaeger by yourself in an offline mission or hosted online mission.