Here is the full list of all 13 Neptunia Shooter achievements.
Clear all stages with 5 or less damage
Get 300,000 points
Clear All Stages
Clear Stage 5
Get 200,000 points
Clear Stage 4
Clear Stage 3
Get 100,000 points
Clear Stage 2
Clear Stage 1
Clear all stages with 3 or less damage
Clear all stages with 1 damage
Clear all stages with no damage