Here is the full list of all 31 Incremental Epic Hero 2 achievements.
Vanquish swarms 10000 times
Walk 384,400 km in total
Unlock Devilfish Lake
Unlock Fox Shirine
Unlock all 6 heroes - Warrior, Wizard, Angel, Thief, Archer and Tamer
Walk 40,075 km in total
Perform Tier 3 Rebirth once on any heroes
Complete all the tutorial quests
Unlock the 3 heroes from IEH1 - Warrior, Wizard and Angel
Unlock Spider Maze
Unlock Bat Cave
Unlock Fairy Garden
Vanquish a swarm
Perform Tier 1 Rebirth once on any heroes
Perform Tier 2 Rebirth once on any heroes
Perform Tier 1 World Ascension once
Spend more than 10,000 Epic Coin at Epic Store
Unlock Magicslime City
Unlock Treant Darkforest
Unlock Flametiger Volcano
Unlock Unicorn Island
Reach Total Potion Level 1250
Reach Total Potion Level 3000
Have 8 Class Skill Slots on any heroes
Have 8 Global Skill Slots on any heroes
Perform Tier 4 Rebirth once on any heroes
Perform Tier 5 Rebirth once on any heroes
Perform Tier 6 Rebirth once on any heroes
Perform Tier 2 World Ascension once
Perform Tier 3 World Ascension once
Open 10000 Tresure Chests