Here is the full list of all 13 Nimble Fish achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
Buy whale
Buy all fishes in the game store
Buy Imperator fish
Reach 300 points.
Collect 150 coins.
Collect 75 coins.
Fall on a flying bird.
Collect 25 coins.
Buy Goldy fish
Get into the mouth of a shark.
Reach 200 points.
Reach 100 points.
Obtain a coin and die a second later.