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