Here is the full list of all 26 The Mobius Machine achievements.
Destroy the Ancient Floaters
Reach the East Floating Forest
Reach the West Floating Forest
Reach the Sky Tower
Reach the Spaceship Graveyard
Kill 100 Floaters
Craft a Weapon
Reach the Mining Grounds
Destroy the Giant Floater
Kill one enemy
Reach the Underground Lake
Destroy the Crawler Queen
Destroy the Furnace Bot
Destroy the Sub Rob
Reach Sector 02 without dying once
Reach Sector 04 without dying once
Fly more than 60 meters horizontally with the parachute
Destroy the Giant Floater without taking any damage
Finish game
Finish game in Retro mode
Reach 100% completion
Reach 100% completion in Retro mode
Finish game in less than 10 hours
Finish game in less than 6 hours
Finish game in less than 10 hours in Retro mode
Finish game in less than 6 hours in Retro mode