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