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