Here is the full list of all 22 Infinifactory achievements.
Solve "Training Routine 5" in 85 cycles or less.
You will never be let go.
Save a "whale" from an unfortunate end.
Throw a "lemming" party.
Solve any puzzle in over 10,000 cycles.
Solve "Training Routine 1" with a solution that is only one block tall.
Solve "Training Routine 1" with a footprint of 50 or less.
Solve "Wave Detection Array" with a footprint of 100 or less.
Solve "Guided Javelin Type 1" in 210 cycles or less.
Solve "Small Excavator" with a footprint of 135 or less.
Solve "Cargo Uplifter" in 140 cycles or less.
Solve "Oversight Terminal Model 6" with a footprint of 95 or less.
Solve "Furnished Studio Apartment" in 130 cycles or less.
Solve "Gneiss Chair" in 225 cycles or less.
Solve "Anti-javelin Point Defense" with a footprint of 255 or less.
Solve "Terrestrial Drone" with a footprint of 300 or less.
Solve "Aerial Combat Shuttle" in 320 cycles or less.
Solve "Shuttle Propulsion Units" with a solution that contains only two welders.
Solve 5 puzzles from Steam Workshop.
Solve 10 puzzles from Steam Workshop.
Solve 20 puzzles from Steam Workshop.