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 Palatinate of Isorion
Complete Kingdom of Renmark
Complete Kingdom of Saverne
Complete Kingdom of Segakorn
Reach Level 40
Complete a 2 suit level in less than 10 seconds.
Complete a 4 suit level in less than 60 seconds.
Complete Lands of Linoë
Complete Pirate Nation Archios
Complete Khanate of Sebassaher
Complete Condominium of Saadaran
Complete Heptarchy of Nepherkeb
Complete a 6 suit level in less than 120 seconds.
Complete Arkheinate of Sidjev
Complete Republic of Serenil
Unlock a sixth Free Cell.
Complete a 8 suit level in less than 300 seconds.
Unlock a fifth Free Cell.
Complete Kingdom of Seth-Ar-Gol
Complete Seignory of Ghordrun
Complete Principate of Harkhares
Unlock a fourth Free Cell.
Complete Bastion of Krell
Reach Level 20
Complete Kingdom of Eidolon
Complete Free City Ulshantir
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.