Here is the full list of all 28 Pearls of Atlantis: The Cove achievements.
Complete Story Chapter 1
Complete Chapter 3
Complete Chapter 10
Match 1000 Pearls
Match 5000 Pearls
Match 10000 Pearls
Win a single level with 15,000 score
Win a single level with 25,000 score
Build a Gallery item
Build 10 Gallery items
Build 30 Gallery items
Destroy a kelp
Destroy 80 kelp
Destroy 150 kelp
Destroy 5 bricks
Destroy 100 bricks
Destroy 500 bricks
Unlock a Color Lock
Unlock 100 Color Locks
Unlock 200 Color Locks
Listen to all Side Stories
Reach 500 feet in the Bottomless Trench event
Open the Daily Challenge event treasure chest
Open all reward chests in a Treasure Run event
Complete a Zen Lagoon event
Win 10 levels in a row (In Chapter 2 and above)
Destroy 15 pearls with a single Bomb Power Up
Destroy 25 pearls with a single Color Clear Rocket Power Up