Here is the full list of all 29 Zero Strain achievements.
Beat Imperious
Complete Downfall Well stage
Complete Xelia Crater stage
Beat Hu Kora
Complete Leytharus Night stage
Beat Eternity
Complete Downfall Well 2 stage
Beat Reactor Core
Complete Xelia Crater 2 stage
Beat Hu Gaku
Complete Kolusia Spire stage
Beat Reaper
Complete Leytharus Night 2 stage
Beat Marionette
Beat The End
Complete Downfall Well Omega
Beat Imperious Omega
Beat Hu Kora Omega
Complete Leytharus Night Omega
Beat Eternity Omega
Complete Downfall Well 2 Omega
Beat Reactor Core Omega
Beat Hu Gaku Omega
Complete Kolusia Spire Omega
Beat Reaper Omega
Beat Marionette Omega
Beat The End Omega
Unlock all catalysts
Beat everything