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