Crysis/Crysis Warhead(Alongwith crytek Budapest) PC was developed by Crytek Frankfurt..both run on Cryengine 2.
Crysis PS3/X360 & Crysis 2(PC/X360/PS3) ..was developed by Crytek GmbH..both of these run on Cryengine 3.
Ryse(Kinect) is currently being worked on Crytek GmBH.
Homefront 2(Contracted For THQ)/Timesplitters 4 are being developed by Crytek UK.
So basically these are major Titles undertaken By Crytek.
Crysis 3(TBD) is under Pre-production and from current situation we can speculate its development being passed on to Crytek Frankfurt which will be win win case for PC gamers since Crytek FranKfurt specializes in PC Games and have Crysis //Crysis Warhead to their credit.
I had played it before when I didn't had a gfx card...lagged a lot...and maybe didn't take much interest in it. Have crysis 2...gfx are amazing...but somehow didn't find it much engaging....maybe I need to give it another try.