Here is the full list of all 12 Wonky Ship achievements.
Unlock a new ship
Flip 10 times
Get a high score of 100
Meet your inevitable doom
Flip 100 times
Flip 1,000 times
Get a high score of 1,000
Flip 10,000 times
Get a high score of 10,000
Equip an item
Play in a multiplayer match
Unlock all ships