Here is the full list of all 55 TerraScape achievements.
Finish 15 Multiplayer Sessions
Start 15 Multiplayer Sessions
Finish 5 Multiplayer Sessions
Start 5 Multiplayer Sessions
Finish 1 Multiplayer Session
Start 1 Multiplayer Session
Place 50 buildings in creative Mode
Unlock the Terra Massive Massif
Unlock the Terra Vexing Valley
Unlock the Terra Colossal Crater
Unlock the Terra Soaring Summits
Unlock the Terra Challenge Continent
Merge 1 Cathedral
Unlock the Terra Bonny Basin
Earn 45 Puzzle Terra Gold Medal
Earn 45 Puzzle Terra Bronze Medals
Achieve a Gold Medal on any Free Play/Scenario Terra by only scoring at least a gold-rating with every building placed.
Earn 30 Puzzle Terra Gold Medal
Unlock the Terra Advanced Atoll
Unlock the Terra Harmonic Hills
Earn 30 Challenge Level Bronze Medals
Earn 15 Puzzle Terra Gold Medal
Earn 15 Challenge Level Bronze Medals
Unlock the Terra Epic Expanse
Unlock the Terra Peerless Plateau
Unlock the Terra Idyllic Island
Earn 5 Puzzle Terra Gold Medal
Earn 5 Challenge Level Bronze Medals
Open the Multiplayer Screen
Reach Keep Level 5
Unlock the Science Deck
Unlock the Iron Industry Deck
Unlock the Mining Deck
Merge 1 City District
Unlock the City Deck
Earn 1 Puzzle Terra Gold Medal
Reach the Bronze Medal in any Challenge Level
Unlock the Fishing Deck
Merge 1 Longhouse
Unlock the Beverages Deck
Unlock the Village Deck
Unlock the Farming Deck
Place your Keep