Here is the full list of all 18 Legends of Atlantis: Exodus achievements.
3 of a kind on the Fortune Machine without a wildcard
3 buildings are being built or upgraded simultaneously
3 Clockwork Men are active at the same time
All 4 production buildings (Sawmill, Crystal Mine, Well and Quarry) upgraded to level 3 on a single level
50 pieces of Stone remained at the end of the level
99 pieces are reached from any resource type
50 pieces of Wood remained at the end of the level
10 successful merchant deals on a single level
3 Monsters are defeated within a minute
50 pieces of Crystals remained at the end of the level
50 buckets of Water remained at the end of the level
Fortune Machine is used 5 times on a single level
3 obstacles are being cleared simultaneously
Workers' Lodge is upgraded to level 3 in the first minute
Any hidden object level completed in 45 seconds
3 Robbers are defeated within a minute
One of the workers not doing anything for a minute
12 trees are chopped down on a single level