Here is the full list of all 40 The Forgotten City achievements. It takes around 12-15 hours to unlock all of the achievements on Windows.
Topple 10 peeled statues by kicking others into them
Die from hornet stings
Lie 10 times
Loop through time ten times
Reach the best ending with the smallest number of loops
Free the captive and shoot her captor with your gun
Dodge 3 boulders
Assemble as many people as possible in the Museum
Intimidate the creator of The Golden Rule
Finish the game without looping through time once
Skip the city tour
Allow Fabia to die in the collapsing temple
Help Galerius romance Equitia
Reach Ending 4 of 4
Talk your way through every possible confrontation
Confront the creator of The Golden Rule
Have Duli released from his cell
Read 10 different grafitti
Use Photo Mode
Discover Underworld icons Sisyphus, Tantalus, Ixion and the Belide
Reach Ending 3 of 4
Solve Vergil's problem
Reach Ending 1 of 4
Reach Ending 2 of 4
Find all three missing persons
Enter the upper cistern in an unconventional way
Find treasure using the golden bow
Learn the true identity of the stranger by the river
Survive the Palace
Gild your first thing
Save Ulpius's life
Trigger The Golden Rule by stealing 5 times
Steal 2000 coins after the Golden Rule is broken
Get rejected by Aurelia
Enter a villa with a daring leap
Save Iulia's life
Save Fabia's life
Discover what lies beneath the city
Pick up the sponge on a stick
Loop through time once