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