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