Here is the full list of all 13 Silicon Zeroes achievements.
Beat 'Faux-Reg' variants 1, 2 and 3.
Beat 'Threes'.
Beat 'Cows'.
Find the secret board.
Beat an 'ideal' score.
Beat the game.
Beat the second board.
Beat 'Multiply'.
Beat the first board.
Beat the final ending.
Beat all puzzles.
Perfect all puzles.
Beat the secret board.