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