Here is the full list of all 13 Seven Seas Solitaire achievements.
Earned for completing the first stage
Earned for completing 15 stages
Earned for completing the game!
Earned for making a combo of 8 or more
Earned for making a combo of 18 or more
Earned for making a combo of 28 or more
Earned for making a combo of 36 or more
Earned for a perfect finish
Earned for 10 perfect finishes
Earned for 30 perfect finishes
Earned for firing 25 cannonballs (wild cards)
Earned for fully upgrading The Falcon
Earned for purchasi9ng all island (non-ship) upgrades