Yazoo's taproom is good, but it is beer only (no food) and usually long lines waiting at the taps.
Flying Saucer is OK, usually have Stone IPA on tap.
Blackstone Brewery is pretty good and they might have a 9.7% Belgian on tap. I believe it is their first high gravity offering.
Big River Brewing down at the end of Broadway is decent when they have Red Brick on tap. Try the grilled meat loaf or Shrimp and Grits.... yum.
My favorite tap room so far is 12 South Tap Room, oddly on 12th Street South. Got a bartender who looks like Rasputin. Talk to Sweeney (long brown bearded guy). He'll steer you to the good stuff.
I have also heard good things about Broadway Brewhouse but have never been there myself. It is not a brew pub, just a taproom.