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