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