Here is the full list of all 22 Infinifactory achievements.
Solve any puzzle in over 10,000 cycles.
Solve "Guided Javelin Type 1" in 210 cycles or less.
Solve "Wave Detection Array" with a footprint of 100 or less.
Solve "Shuttle Propulsion Units" with a solution that contains only two welders.
Solve "Training Routine 1" with a solution that is only one block tall.
Solve "Training Routine 5" in 85 cycles or less.
Solve "Training Routine 1" with a footprint of 50 or less.
You will never be let go.
Save a "whale" from an unfortunate end.
Throw a "lemming" party.
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 5 puzzles from Steam Workshop.
Solve 10 puzzles from Steam Workshop.
Solve 20 puzzles from Steam Workshop.