Here is the full list of all 18 Legends of Atlantis: Exodus achievements.
Any hidden object level completed in 45 seconds
3 buildings are being built or upgraded simultaneously
Workers' Lodge is upgraded to level 3 in the first minute
3 Clockwork Men are active at the same time
3 of a kind on the Fortune Machine without a wildcard
10 successful merchant deals 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
All 4 production buildings (Sawmill, Crystal Mine, Well and Quarry) upgraded to level 3 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
99 pieces are reached from any resource type
3 Monsters are defeated within a minute
Fortune Machine is used 5 times on a single level
3 obstacles are being cleared simultaneously
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