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