Here is the full list of all 18 Legends of Atlantis: Exodus achievements.
3 Clockwork Men are active at the same time
Fortune Machine is used 5 times on a single level
99 pieces are reached from any resource type
3 of a kind on the Fortune Machine without a wildcard
Any hidden object level completed in 45 seconds
50 pieces of Crystals 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
3 buildings are being built or upgraded simultaneously
Workers' Lodge is upgraded to level 3 in the first minute
10 successful merchant deals on a single 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 Stone remained at the end of the level
50 buckets of Water remained at the end of the level
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