Here is the full list of all 36 FreeCell Quest achievements.
Complete Kingdom of Renmark
Complete the entire continent of Selvarin!
Complete Lands of Linoë
Complete Republic of Serenil
Complete Arkheinate of Sidjev
Complete Kingdom of Saverne
Complete Great Lands of Asteria
Complete Kingdom of Segakorn
Reach Level 40
Complete Principality of Niverlunn
Complete Palatinate of Isorion
Complete Pirate Nation Archios
Complete Heptarchy of Nepherkeb
Complete Khanate of Sebassaher
Complete a 8 suit level in less than 300 seconds.
Unlock a sixth Free Cell.
Complete Condominium of Saadaran
Complete Kingdom of Seth-Ar-Gol
Unlock a fifth Free Cell.
Complete Seignory of Ghordrun
Complete Bastion of Krell
Complete Principate of Harkhares
Complete a 6 suit level in less than 120 seconds.
Unlock a fourth Free Cell.
Complete a 2 suit level in less than 10 seconds.
Reach Level 20
Complete Free City Ulshantir
Complete a 4 suit level in less than 60 seconds.
Complete Kingdom of Eidolon
Complete Kingdom of Hurlen
Unlock a third Free Cell.
Unlock a second Free Cell.
Reach Level 10
Complete Kingdom of Melaan
Reach Level 5
Win your first battle.