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