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