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