Here is the full list of all 43 Birthdays the Beginning achievements.
Achieved Cube temperature of 60°C.
Made the entire Cube into sea.
Cleared Scenario 3.
Captured the ancient bird-lizard, Archaeopteryx.
Captured the terrible lizard, Tyrannosaurus.
Captured an SS-sized organism.
Cleared Scenario 2.
Made the highest mountain on the largest Cube.
Captured the ancient fish, Latimeria.
Captured an ammonite.
Captured the primordial plant, Prototaxites.
Exceeded 1 million total organisms.
Captured the prehistoric fish, Coelacanthus.
Captured a 9-star rarity organism.
Moved terrain over 10,000 times.
Moved terrain over 1,000 times.
Cleared Scenario 1.
Captured your first organism.
Used an item for the first time.
Obtained all trophies.
Made the deepest sea on the largest Cube.
Cleared Scenario 4.
Raised Avatar's level to max.
Captured every organisms.
Accumulated over 1 billion total Cube Years.
Accumulated over 3 billion total Cube Years.
Accumulated over 500 million total Cube Years in Free Play mode.
Exceeded 2 million in total organisms.
Achieved Cube temperature below 0°C.
Obtained
Captured the primitive dragonfly, Meganeura.
Captured the olive tree, Olea.
Captured the ancient pachyderm, Mammuthus.
Captured the giant squid, Architeuthis.
Captured the domesticated dog, Canis familiaris.
Captured the giant panda, Ailuropoda melanoleuca.
Captured the Grand Watcher, Smilodon rex.
Captured the elusive Nessie.
Captured the stench blossom, Rafflesia.
Cleared 1 challenge.
Cleared all challenges.
Cleared with a result of 4 or more stars.
Cleared with a result of 5 stars.