Here is the full list of all 37 Lucky Mayor achievements.
Beginner's Guide
Enter the room
Victory!
Victory! 5 times
Victory! 20 times
Victory! 50 times
Victory! 99 times
Earn over 50000 coins using tomatoes
Earn over 50000 coins using milk
Earn over 50000 coins using eggs
Earn over 50000 coins using oranges
Earn over 50000 coins using fish
Earn over 50000 coins using ore
Earn over 75000 coins using a knife
Earn over 75000 coins using dishes
Earn over 75000 coins using cake
Earn over 75000 coins using books
Earn over 75000 coins using wine
Earn over 75000 coins using potions
Earn over 100000 coins using gems
Earn over 100000 coins using diamonds
Earn over 100000 coins using treasure chests
Earn over 100000 coins using rings
Earn over 100000 coins using batteries
Earn over 100000 coins using guns
Have more than 18 chickens in play
Remove characters more than 30 times in one game
Summon characters more than 40 times in one game
Use items more than 40 times in one game
Have more than 10 gang members or criminals among the characters
Have the headmaster, male students, female students, administrators, and teachers in play at the same time
Have dragons, barbarians, mages, priests, thieves, and druids in play at the same time
Have bassists, drummers, guitarists, rock stars, fans, dancers, and DJs in play at the same time
Get 10000 coins using a lucky cat
Have Tang Seng, Sun Wukong, Zhu Bajie, Sha Wujing, Chang'e, Bull Demon King, and White Horse at the same time
The sergeant removes 2000 characters
Get over 1024 coins in a single round with sunflowers