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