I liked UT3 too, but I guess UT2004 was the peak, with all its different game modes. UT3 felt a little bit like a console thing, with fewer modes. Overall I had much more fun with UT2004, playing it with friends in LAN. UT3 simply didn't pack as much fun gameplay.
UT3 felt sluggish at the time. Both in gameplay and graphics performance. Still much faster than most games today of course.
Ah, for me that would have been UT aka UT99. But chances are, I'm simply 3 - 6 years older than you ;-) Though I definitely I was not the intended age group upon release.
UT4 would have been pretty nice. I remember building the alpha from source when they put it GitHub.... .... Which is now closer to the release of UT 2004 than today. sigh