Here is the full list of all 16 Escape Goat achievements.
Beat The Final Path Room 9 without destroying all TNT blocks.
Complete the Prison of Agnus in under 45 minutes.
Visit each room in the Prison of Agnus.
Complete The Final Path.
Beat Engine of Insanity Room 4 destroying all Reapers.
Beat room Engine of Insanity Room 3 before the stone block falls to the floor.
Beat Lost City Room 5 destroying all reapers, but without disturbing the central stack of blocks.
Beat room The Final Path Room 1 without touching any switches or skulls.
Beat The Crypt Room 5 without waking the Gargoyles.
Beat room Limestone Quarry Room 1 without activating any Skull Switches.
Beat The Darkest Pits Room 4 without harming any Reapers.
Beat room Electric Lab Room 3 without touching any of the top four switches.
Beat The Darkest Pits Room 5 destroying all Reapers.
Beat Frozen Cavern Room 5 without touching any of the Skull Switches.
Beat Frozen Cavern Room 4 with 5 Ice Blocks remaining.
Beat Ruins of Red Clay Room 1 without touching the Skull Switch.