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