Here is the full list of all 39 Sliming achievements.
First Dead
First Stage clear
First Extra Stage Clear
Chapter 1 Clear
First Stage Get Rank S
Dead 100 times
Dead 10,000 times
Dead 100,000 time
Chapter 1 Extra Stage Clear
Chapter 2 Extra Stage Clear
Chapter 3 Extra Stage Clear
Chapter 4 Extra Stage Clear
Chapter 5 Extra Stage Clear
Chapter 6 Extra Stage Clear
Chapter 7 Extra Stage Clear
Chapter 8 Extra Stage Clear
Chapter 9 Extra Stage Clear
Chapter 10 Extra Stage Clear
All_Stage_Clear
Bounce Slime 1,000 Times
Bounce Slime 10,000 Times
Bounce Slime 100,000 Times
Get S Rank 10 Times
Get S Rank 50 Times
Get S Rank 100 Times
Get Perfect Crown First Time
Get Perfect Crown 10 Times
Get Perfect Crown 50 Times
Get Perfect Crown 100 Times
Chapter 1 stage all clear
Chapter 2 stage all clear
Chapter 3 stage all clear
Chapter 4 stage all clear
Chapter 5 stage all clear
Chapter 6 stage all clear
Chapter 7 stage all clear
Chapter 8 stage all clear
Chapter 9 stage all clear
Chapter 10 stage all clear