Here is the full list of all 61 The Amazing American Circus achievements.
First failed show (after the tutorial).
Finish the tutorial.
First successful show (after the tutorial).
Finish the first act of a show with a Finale!
Finish a show with a Finale!
Complete the Prologue.
Travel without food.
Leave the Wild West region behind.
Leave the Midwest region behind.
Leave the South region behind.
Finish the game.
Impress Buffalo Bill.
Impress Henry Ford.
Impress Marie Laveau.
Impress Queen Victoria, P.T. Barnum and Roosevelt.
First three-segment journey.
Get a Strongman to the MAX level.
Get a Juggler to the MAX level.
Get a Clown to the MAX level.
Get an Acrobat to the MAX level.
Get an Aerialist to the MAX level.
Get a Face Changer to the MAX level.
Get an Illusionist to the MAX level.
Get a Fire Eater to the MAX level.
Get a Mime to the MAX level.
Get an One-man Band to the MAX level.
Get a Snake Charmer to the MAX level.
Get a Fakir to the MAX level.
Get a Counting Chicken to the MAX level.
Get an Animal Tamer to the MAX level.
Get a Mountebank to the MAX level.
Get your first Misfit.
Get your first Finale!
Start a show with the minimal amount of artists.
Win ten shows.
Fail ten shows.
Spend and/or lose all the money.
Win a show with just one artist.
Complete One Bigfoot's Solitude.
Complete Blessed Be Thy Chicken.
Complete Beasts of Oregon.
Complete A Crowd Tough as Nails.
Complete Clown of a Father.
Complete Betsy's First Time on Stage.
Complete A Spark Can be Trouble.
Complete Some Unusual Hunting.
Complete A Desperate Case of Delusion.
Complete A Man, a Ghost and a Love Story.
Complete A Knife in the Day.
Complete Just a Little Bit Sick.
Complete Friends in High Places.
Complete By the Devil's Hand?.
Complete By Flood and by Fire.
Complete A Little Branching Out.
Complete Quite a Pair.
Complete A Night to Remember.
Complete A Circus Man, a Movie Star.
Complete Inventors' Quarrel.
Complete A Mighty Fine Deal.
Win a Show with three Counting Chickens.
Impress 120 (or more) a Spectator with a single action.