U Single Player only.
UT Currently Single Player only, but would be online constantly if I had a connection of my own. Mostly (good) sniper servers for relaxation, or large map/city map servers for funzies, and finally 1v1 for serious practice, ideally against someone much better (and more patient) than I am.
UT2003 If I still had the disk I'd still play it. Yeah, that's right, I like 2003. And you know what else? I liked the Running Man meets WWF theme too, and I hate WWF.
I didn't see what everyone's problem was anyway.
UT2004 Again currently Single Player only, but would be online if I had a connection of my own.
I'd be playing basic DM until I got me a microphone and some head-boobs, and then it'd be team stuff all the way. Ditto for UT if it had voice things.