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