Here is the full list of all 10 Song of the Deep achievements.
Purchase all upgrades
Feed the Queen Leviathan
Destroy the Forbidden City forever
Commune with the giant seahorse
Defeat the Fomori Boss
Activate the Deeplight
Kill a Tremorclaw Crab as Merryn
Pay your respects to the Watcher and drop a flower on her final resting place
Defeat the Watcher
Meet the Merrow