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
Die 5 times
Succeeded attacking 10 times with mace
Kill the boss
Traded with the merchant for 5 times
Succeeded attacking 10 times with spear
Find 5 hidden gold chest
Dig a grave of the dead Mr.Cube
Traded with the merchant 3 times
Bought from the merchant for the first time
Produced new character
Killed 3 competing CUBE
Find 3 hidden gold chest
Obtained 3 types of equipment
Penetrate through 10 stages
Destroyed 10 towers
Penetrate through 5 stages
Destroyed 5 towers
Penetrate through 3 stages
Used the stamina recovery item 5 times
Killed 50 monsters
Killed the first competing CUBE
Used the health recovery item 5 times
Find 1 hidden gold chest
Killed 30 monsters
Opened 10 skeleton chest
Used the speed enforcement potion 5 times
Obtain 50 gold
Opened 5 skeleton chest
Killed 10 monsters
Obtain 25 gold
Obtain 10 gold
Destroyed the tower for the first time
Kill the Elite Monster
Succeeded attacking 10 times with sword
Opened the skeleton chest for the first time
Move to the first stage using the portal
Complete tutorial