Here is the full list of all 33 Transistor achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Recurse through the story.
Achieve User Level 24.
Complete each Performance Test.
Clear every Test.
Complete each Agency Test
Create a Function combination requiring 12 MEM.
Unlock every Upgrade Slot and Passive Slot.
Clear one of each Test.
Complete each Speed Test.
Inspect all completed Limiter Files.
Complete five encounters with five or more Limiters in use.
Complete five encounters with all 10 Limiters in use.
Upgrade a Function with a copy of itself.
Unlock 32 MEM.
Achieve User Level 16.
Unlock every Process Limiter.
Inspect all completed Function Files.
Unlock every Transistor Function.
Complete the story.
Confront Royce beyond Cloudbank.
Deal at least 2048 damage in one Turn() in the Practice Test.
Deal at least 1024 damage in one Turn() in the Practice Test.
Complete each Stability Test.
Complete each Planning Test.
Confront Grant and Asher at Bracket Towers.
Confront the Spine at the Bracket Towers facade.
Inspect 10 completed Function Files.
Achieve User Level 8.
Inspect five completed Function Files.
Complete five encounters with one or more Limiters in use.
Use 10 different OVC Terminals.
Confront Sybil at the Empty Set.
Reach the Goldwalk District.