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