Here is the full list of all 24 Kentucky Route Zero: PC Edition achievements. It takes around 12-15 hours to unlock all of the achievements on Windows.
Complete "The Entertainment."
Complete Act II.
Follow the bureaucratic loop in the Bureau 3 times.
Complete "Limits & Demonstrations."
Complete Act I.
Share Joseph's home-made jerky with the dog.
Listen to the organ performance in the Bureau.
Win the claw game at Sam & Ida's.
Hypnotize Shannon in the mine.
Find Phil and Jane on the Zero.
Watch Flora launch her paper boat.
Find Flora's boat in the distillery.
Die in Xanadu.
Learn about 12 dishes in Sam & Ida's.
Return to Equus Oils and find Carrington there.
Answer the phone in the Rum Colony.
Walk the Seer's earthwork path in the town.
Complete Act III.
Complete Act IV.
Complete Act IV a second time.
Complete Act V.
Complete "Here And There Along The Echo."
Complete "Un Pueblo De Nada."
Complete "Death of the Hired Man."