Here is the full list of all 20 SMASHING THE BATTLE achievements.
Purchase items from the Shop
Clear Challenge mode
Clear Challenge Lv. 60
Clear Challenge Lv. 80
Clear Challenge Lv. 40
Rescue Workers
Clear Challenge Lv. 10
Clear Challenge Lv. 20
Purchase costumes
Clear The Chaser story mode
Unlock all the secret documents
Complete the Fan Art collection
Clear The Survivor story mode
Destroy Boss Buildbots
Upgrade stats/skills
Destroy Buildbots
Get a Massive Kill
Destroy item containers
Evade hazards/attacks
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