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