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