Here is the full list of all 38 Survive! Mr.Cube trophies - there are 24 bronze, 8 silver, 5 gold and 1 platinum.
Achieved all trophies
Kill the boss
Find 5 hidden gold chest
Find 3 hidden gold chest
Traded with the merchant for 5 times
Penetrate through 10 stages
Destroyed 10 towers
Used the speed enforcement potion 5 times
Traded with the merchant 3 times
Die 5 times
Penetrate through 5 stages
Killed 3 competing CUBE
Destroyed 5 towers
Penetrate through 3 stages
Succeeded attacking 10 times with mace
Used the stamina recovery item 5 times
Obtained 3 types of equipment
Succeeded attacking 10 times with spear
Bought from the merchant for the first time
Dig a grave of the dead Mr.Cube
Produced new character
Killed the first competing CUBE
Destroyed the tower for the first time
Find 1 hidden gold chest
Killed 50 monsters
Opened 10 skeleton chest
Killed 30 monsters
Used the health recovery item 5 times
Obtain 50 gold
Kill the Elite Monster
Opened 5 skeleton chest
Killed 10 monsters
Obtain 25 gold
Obtain 10 gold
Opened the skeleton chest for the first time
Succeeded attacking 10 times with sword
Move to the first stage using the portal
Complete tutorial