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