Here is the full list of all 56 Mysterious Realms RPG achievements.
Encounter 10 Events
Pick up 40 salvage
Teach Hero a skill
Solve a riddle
Slay 25 enemies
Pick up 30 gold
Open 10 vases, barrels etc.
Empower a Crystal up to 3 power
Slay 10 enemies
Slay a rare enemy
Light 5 torches
Pick up 10 salvage
Complete a mission
Encounter an Event
Slay the first enemy
Complete a mission when one Hero is dead
Unlock every feature in the Town
Reach the maximum of enemy's Health modif.
Slay the First Warden
Slay Elemental Lord
Slay Grim Reaper
Slay Goblin King
Slay a hidden enemy
Solve 3 riddles
Solve 8 riddles
Slay 100 enemies
Pick up 100 salvage
Complete 10 missions
Complete 20 missions
Open 50 vases, barrels etc.
Open 100 vases, barrels etc.
Teach every Hero 4 skills
Teach every Hero 6 skills
Slay 5 rare enemies
Slay 10 rare enemies
Light 50 torches
Light 100 torches
Drink 5 potions
Drink 15 potions
Drink 40 potions
Encounter a stranger
Encounter 3 strangers
Encounter 5 strangers
Pick up 100 gold
Pick up 200 gold
Eat 3 food
Eat 10 food
Eat 25 food
Examine 3 objects
Examine 8 objects
Examine 15 objects
Empower every Crystal up to 3 power
Empower every Crystal up to 5 power
Encounter 25 Events
Complete the game without any Hero dying
Obtain every other achievement