Here is the full list of all 36 Alchemist Penguin achievements.
Get a platinum rating on every stage in Archaeologist Mode.
Get a platinum rating on every stage in Brewmaster Mode.
Get a platinum rating on every stage in Transmutation Mode.
Get a platinum rating on every stage in Epic Mode.
Get a platinum rating on every stage in Vendetta Mode.
Get a silver rating (or better) on any stage using Mace of Dome-cracking, Ragweed Potion, and Quick Slide.
Unlock all of the Ultimate powerups.
Get a silver rating (or better) on any stage using the Alchemist Bellows, the Acid Flask, and Ninja Smoke.
Pick up 50 coins in a single round.
Collect at least 7 ice-blue armor hearts in one round on Cold Cavern.
Go 4 minutes on Hot Foot without getting hit by a single meteor.
Kill 5 dinos on Lock Block Dungeon in one round by closing an open lock block on them.
Get a silver rating (or better) on any stage in Brewmaster, Epic, or Vendetta Mode using the same potion in both your normal and Brewmaster's potion slots.
Get a silver rating (or better) on any stage while using the Baconroot Essence boost.
Unlock all of the Instinct powerups.
Go 4 minutes on Waterside without triggering a single pterodactyl.
Get a silver rating (or better) on any stage while using the Fish Oil boost.
Get a silver rating (or better) on any stage while using the Magnetized Headband boost.
Unlock all of the Technique powerups.
Get a silver rating (or better) on any stage while using the Red Cape boost.
Unlock all of the Potion powerups.
Get a silver rating (or better) on any stage while using the Shot of Espresso boost.
Transmute 15 eggs in one round on Transmutation or Epic Mode without losing a single egg.
Go 4 minutes on Den of the Hungrysaur without giving the Hungrysaur a single baconroot.
Survive long enough to outlast 3 waves of fog on Foggytown.
Break open and trigger 15 discarded potion bottles on Glassbottle Canyon in one round.
Strike 7 dinos in one round with Storm City's lightning spots.
Survive long enough to outlast 3 ice meltings on Ice Pass.
Get a silver rating (or better) on any stage using the Pineapples That Are Also Bombs, the Cilantro Potion, and Knife Chuck.
Get a silver rating (or better) on any stage using the Broadsider, the Health Precipitator, and Flippersaw.
Get a silver rating (or better) on any stage using the d6 Shooter, the Liquid Lightning Rod, and Penguin Optimism.
Get a silver rating (or better) on any stage using the Red-hot Poker of Destiny, Fire Juice, and Power Waddle.
Get a silver rating (or better) on any stage using the Sun Gun, Flash Freeze, and the Yella Umbrella.
Get a silver rating (or better) on any stage using the Katana of Slice-cutting, the Penguin Reducer, and That Samurai Thing.
Get the Spring-loaded Pistol, Liquid Frost, and Knife Chuck to level 3.
Unlock all of the Weapon powerups.