Here is the full list of all 18 Legends of Atlantis: Exodus achievements.
Any hidden object level completed in 45 seconds
3 Clockwork Men are active at the same time
3 of a kind on the Fortune Machine without a wildcard
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
50 pieces of Crystals remained at the end of the level
50 pieces of Wood remained at the end of the level
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 buildings are being built or upgraded simultaneously
3 obstacles are being cleared simultaneously
Workers' Lodge is upgraded to level 3 in the first minute
One of the workers not doing anything for a minute
Fortune Machine is used 5 times on a single level
3 Robbers are defeated within a minute
12 trees are chopped down on a single level