Here is the full list of all 43 Mr. Bree+ achievements.
Start a level in hardcore mode
Skip the last cutscene
Defeat the slaughterhouse boss
Press the red button!
Collect all bad memories
Defeat the forest boss
Beat 40 levels
Beat your best time 10 times
Get 50% of all achievements
Collect 20 bad memories
Perform your first double jump
Get Double Jump
Get Wall Jump
Beat 20 levels
Beat the tenth level
Get Run
Die 100 Times
Collect 5 bad memories
Beat 5 levels without dying
Die 50 Times
Enter the first slaughterhouse level
Beat 5 levels
Get Crouch
Die 10 times in the same level
Die 5 times in the same level
Quit a level
Collect the first bad memory
Die 1 time
Die on the first level
Get Jump
Stay still for a while
Beat 20 levels without dying
Beat 40 levels without dying
Beat all levels without dying
Beat your best time 20 times
Get 75% of all achievements
Get all other achievements
Watch the credits cutscene to the end
Beat 5 levels in hardcore mode
Beat 20 levels in hardcore mode
Beat 40 levels in hardcore mode
Beat level 24 in less than 29 seconds
Complete all levels in all game modes