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