Here is the full list of all 61 The Mystic achievements.
Play/start single player game (random map) against AI player.
Kill 1 enemy unit in single player game.
Win game playing faction Teneb.
Win game playing faction Nergal.
Win game playing faction Lanciences.
Win game playing faction Pallanti.
Win game playing faction Darval.
Summon all Teneb magic units in one game (will reset every time not achieved).
Summon all Nergal magic units in one game (will reset every time not achieved).
Summon all Lanciences magic units in one game (will reset every time not achieved).
Summon all Pallanti magic units in one game (will reset every time not achieved).
Summon all Darval magic units in one game (will reset every time not achieved).
Recruit all mortal units in one game (will reset every time not achieved).
Survive in one game at at least 10 turns.
Survive in one game at at least 100 turns.
Win game against AI (maximum difficulty).
Win a single player game with all factions involved (5 players; player + 4 AI with at least Fair difficulty).
Start a multiplayer game with at least one friend.
Win a multiplayer game, played with at least 1 player.
Create a custom map in a Map editor.
Play some custom map in signle player game.
Win a custom map in single player game.
Kill 10 enemy unit in single player game.
Kill 100 enemy unit in single player game.
Cast at least 1 spell.
Cast at least 10 spell.
Cast at least 100 spell.
Cast at least 1 faction based spell.
Advance to Tier 2 city technology.
Advance to Tier 3 city technology.
Advance to Tier 4 city technology.
Destroy at least 1 enemy bulding.
Destroy at least 20 enemy bulding.
Build your first Magic tower.
Have 2 Magic tower built.
Have 7 Magic tower built.
Have 2 spells charging in queue at same time.
Have 4 spells charging in queue at same time.
Have 8 spells charging in queue at same time.
Kill each Teneb based type magic unit in 1 game.
Kill each Nergal based type magic unit in 1 game.
Kill each Lanciences based type magic unit in 1 game.
Kill each Pallanti based type magic unit in 1 game.
Kill each Darval based type magic unit in 1 game.
Kill each mortal unit type in one game.
Destroy enemy walls of Pallace at single player at least once.
Granted for finding the bugged achievments or by traveling 1000 tiles.