Here is the full list of all 43 Birthdays the Beginning achievements.
Captured the olive tree, Olea.
Captured the ancient bird-lizard, Archaeopteryx.
Captured the terrible lizard, Tyrannosaurus.
Exceeded 1 million total organisms.
Captured the ancient pachyderm, Mammuthus.
Captured an SS-sized organism.
Captured an ammonite.
Captured the primitive dragonfly, Meganeura.
Captured a 9-star rarity organism.
Captured the prehistoric fish, Coelacanthus.
Moved terrain over 10,000 times.
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.
Obtained all trophies.
Made the highest mountain on the largest Cube.
Made the deepest sea on the largest Cube.
Cleared Scenario 2.
Cleared Scenario 3.
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 of 60°C.
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 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.