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