Here is the full list of all 25 Death Squared achievements.
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Finish the Story
Find 5 secret items
Complete 60 Story levels
Die 250 Times
Complete 40 Story levels
Find a secret item
Die A Lot More
Complete 20 Story levels
Complete 10 Story levels
Skip the intro
Customize your bot
Die 10 times
Complete 1 Story level
Complete a Party level
Complete 10 Party levels
Finish the Party
Complete 3 levels in a row without dying
Complete 6 levels in a row without dying
Complete 9 levels in a row without dying
Die 50 times in a single level
Die 999 times
Find 10 secret items
Make All 4 players dance at same time
Make All 4 players die at same time