Here is the full list of all 29 Gaia Trek achievements.
Blowing away sand with wind
Pass Classic Mode
Pass Standard Mode Stage 5
Pass Standard Mode Stage 10
Hold on to the 210th minute of Endless Mode
Produce the first Flame Wave
Fully heal a monster card
Produce 300 Chimera monster cards in a single game
Produce 300 Auto-Machine monster cards in a single game
Produce 300 Photosynthesis monster cards in a single game
Produce 300 Caveworm monster cards in a single game
Produce 300 Elemen monster cards in a single game
Produce 60 Emotion monster cards in a single game
Produce 100 God Fusion monster cards in a single game
Equip 3 equipment for a monster card
Have 100,000 Renda Coins simultaneously
The first time a monster card dies
4 monster lairs exist on the field simultaneously
Unlock all building blueprints
Produce the race fusion monster for the first time
Synthesize 3-star monsters for the first time
All monsters on the field are 3-star monsters
Use Flame Wave melting ice to produce water
Use Flame Wave melting tundra to produce earth
Evaporate water with magma to produce steam
Enslave 100 enemy monsters
Destroy 1,000 enemy monsters with Astral Soul Burst
Unlock the Experienced talent and explore the same area 50 times
Unlock all the talents