Thanks, guys. I chose these three because I am more familiar with the Unreal Engine than with any other game engine (and all of these three games use it).
Also, I've played the Undying demo (after a frustrating download time of 5 hours and 15 minutes), and I was a little impressed. The turnoffs were the sluggishness in the interface and the fact that I had to edit the .ini to configure all the controls.
I'm hesitant to DL the Deus Ex demo because my computer says it will take over 8 hours. (I miss my T1 connection at college!) Is the Unreal 2 demo out yet?
BTW, single player is my preferred game type, and I almost decided to put Rune in this list, but its theme turned me off a little.
Oh, take your time with responses. I usually frequent only the Unreal 1 forum and the Editing forum. BTW, I'm going to vote for U2 just so I can see how everyone else voted.