Full list of all 42 Cuphead achievements worth 1,500 gamerscore. It takes around 20-25 hours to unlock all of the achievements in the base game on Xbox One.
The base game contains 28 achievements worth 1,000 Gamerscore, and there are 2 DLC packs containing 14 achievements worth 500 Gamerscore.
Defeat a boss using only the mini-plane bullets
Obtain an A-Rank or higher on all bosses in Inkwell Isle I
Get an S-Rank
Buy everything in Porkrind's Shop
Get every coin in the game
Complete the game on Normal
Defeat the Devil
Give in to the Devil
Complete the Casino
Defeat King Dice without taking a hit
Defeat every boss in Inkwell Isle III
Complete all levels without killing an enemy
Defeat a boss with a Super Art
Get every coin in all of the levels
Obtain all Super Arts
Parry five times before hitting the ground
Defeat every boss in Inkwell Isle II
Defeat a boss with an Extra Special move
Complete 100 parries
Defeat every boss in Inkwell Isle I
Complete 20 parries
Find a shortcut
Complete a level without getting hit
Defeat a boss
Obtain an A-Rank or higher on all bosses in Inkwell Isle II
Obtain an A-Rank or higher on all bosses in Inkwell Isle III
Obtain an A-Rank or higher on all bosses in Inkwell Hell
Complete the game on Expert
Defeat every boss in Inkwell Isle IV
Obtain an A-Rank or Higher on all bosses in Inkwell Isle IV
Defeat a boss with Ms. Chalice
Defeat 10 bosses with Ms. Chalice
Defeat a boss with one of Ms. Chalice's Super Arts
Defeat a boss with one of Porkrind's new weapons
Defeat all of the King of Games' Champions
Defeat the King's Gauntlet
Complete your quest on Inkwell Isle IV
Get an S-Rank on a stage of Inkwell Isle IV
Defeat a boss on Inkwell Isle IV without killing any of its minions
Survive the nightmare
Obtain great power
Have 9HP at one time