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