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