Here is the full list of all 41 SG/ZH: School Girl/Zombie Hunter achievements.
Clear Chapter 3.
Clear a Boss mission for the first time.
Use a Club Attack 10 times in a single mission.
Obtain shoes for the first time.
Clear Chapter 2.
Defeat a total of 1,000 enemies.
Clear a Timed Survival mission for the first time.
Defeat all Charons in one mission, then clear the mission.
Clear a Fetch mission for the first time.
Clear Chapter 1.
Use Mayaya for the first time and clear a mission.
Use Rei for the first time and clear a mission.
Defeat a total of 100 enemies.
Use Enami for the first time and clear a mission.
Use Risa for the first time and clear a mission.
Undress for the first time.
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.
Clear a Destination mission for the first time.
Obtain a new weapon 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.
Obtain all shoes.
Clear all offline missions on all difficulty settings.
Clear Chapter 4.
Clear Chapter 5.
Use an Underwear Trap for the first time.
Undress 3 people during a single mission.
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.