Here is the full list of all 21 Home Detective - there are Immersive Edition achievements.
Get an A or better rating in Case #1.
Get an A or better rating in Case #2.
Get an A or better rating in Case #3.
Get an A or better rating in Case #4.
Get an A or better rating in Case #5.
Get an A or better rating in Case #6.
Get an S rating in Case #1.
Get an S rating in Case #2.
Get an S rating in Case #3.
Get an S rating in Case #4.
Get an S rating in Case #5.
Get an S rating in Case #6.
Complete a Case in 5 minutes or less.
Find every single clue in a Case.
Pick up a Clue.
Use the Residual Heat Scanner to find a Clue.
Find a Fingerprint using the dusting tool.
During crime scene reconstruction, get every question right.
Complete every Case.
Save the Work-From-Home Detective Agency.
Find and decrypt a latent data Clue.