Here is the full list of all 77 Tower of Time achievements.
Transmute gems 30 times
Apply weakness to 20 enemies in one combat.
Equip all Relics on one character
Craft 30 items
Summon Mech 4 times in one combat
Win battle with a caged hero
Use Blind Rage 2 times in one combat
Increase a single skill to a maximum.
Win a fight on level 4 or higher with 2 or less champions
Cast Elemental Barrage 25 times in one combat
Apply 10 enchantments
Use Teleport 5 times in one combat
Learn all 6 skills on a single hero.
Reach the 25 point attribute cap for any attribute.
Apply 30 upgrades to items
Unlock Mystic Whisper.
Find all Sleath notes.
Withdraw from battle 100 times.
Unlock Blademaster Boron.
Use Dash skill 10 times in one combat
Resolve the conflicts between the Water and Earth Servants.
Reach level 6 with any hero.
Solve the puzzle of the clocks.
Finish battle with full hp of whole party
Heal hero which has less than 5 HP
Defeat Ancient Guard
Unlock Runelord Rakhem.
Equip all items for a hero.
Heal 1000 damage in one fight with Healing Totem
Upgrade Mage Tower.
Deal 1000 damage with Ent in one combat
Kill 100 enemies.
Unlock Druid Aeric.
Kill death reaper
Get Cindros Sword
Upgrade Armory.
Use Teleporter.
Win battle with just one champion
Obtain a legendary item.
Kill first enemy
Reach the ultimate attribute cap of 40 for any attribute.
Win battle when whole party has less than 10 HP
Place Exploding Runes 5 times in one combat
Cast Fireball 5 times in one combat
Use Gravity Well 4 times in one combat
Blind 20 enemies in one combat
Kill 3 enemies in one fight with Headshot
Deal 10000 damage in one combat with Rain of Arrows
Kill 5 enemies in one combat with Blades of Justice
Win combat with health and mana of every champion under 10%