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 Clockwork Men are active at the same time
3 Monsters are defeated within a minute
99 pieces are reached from any resource type
50 buckets of Water remained at the end of the level
All 4 production buildings (Sawmill, Crystal Mine, Well and Quarry) upgraded to level 3 on a single level
50 pieces of Wood remained at the end of the level
50 pieces of Crystals remained at the end of the level
50 pieces of Stone remained at the end of the level
10 successful merchant deals on a single level
3 buildings are being built or upgraded simultaneously
3 obstacles are being cleared simultaneously
Fortune Machine is used 5 times on a single level
Workers' Lodge is upgraded to level 3 in the first minute
3 Robbers are defeated within a minute
Any hidden object level completed in 45 seconds
12 trees are chopped down on a single level
One of the workers not doing anything for a minute