Here is the full list of all 38 Dice Tower Defense achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
Complete 50 rounds
Upgrade a blue dice to level 6
Complete 40 rounds
Upgrade a blue dice to level 5
Upgrade a red dice to level 6
Upgrade an orange dice to level 6
Upgrade an orange dice to level 5
Kill 3 bosses
Complete 30 rounds
Upgrade a white dice to level 6
Upgrade a red dice to level 5
Upgrade a blue dice to level 4
Upgrade an orange dice to level 4
Upgrade a blue dice to level 3
Upgrade a blue dice to level 2
Own 5 blue dices at the same time
Upgrade a red dice to level 4
Upgrade a white dice to level 5
Upgrade a red dice to level 3
Upgrade an orange dice to level 3
Own 5 red dices at the same time
Upgrade a white dice to level 4
Upgrade an orange dice to level 2
Upgrade a red dice to level 2
Upgrade a white dice to level 3
Own 5 orange dices at the same time
Upgrade a white dice to level 2
Switch to the fastest speed
Complete 20 rounds
Collect 5000 gold
Collect 2500 gold
Collect 1000 gold
Kill the boss
Complete 10 rounds
Buy and place a blue dice
Buy and place a red dice
Buy and place an orange dice
Buy and place a white dice