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