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