I run a turn-based games site, so I like quite a few board games. Right now my favorites are probably Connect6, Breakthrough, and Phutball. I've recently (re-)discovered Dots and Boxes which is quite a bit more interesting than I remember it being when I was a kid.
If you want to try any of these, my site is Vying Games (vying.org).
If you want to try any of these, my site is Vying Games (vying.org).