Tennessee state laws prohibited restaurants from brewing and selling beer until 1992, so the craft beer industry did not get started until then.

• Bosco's Restaurant and Brewing Company in Overton Square is Tennessee's oldest brewpub; has a full-fledged restaurant to accompany the beer.
• Wiseacre Brewery on Broad Ave has a nice outdoor area as well where food trucks visit.
• High Cotton Brewing Company on Monroe Ave is right next to UTHSC campus; there is a food area next door.
• Crosstown Brewing Company is right next to Crosstown Concourse which has a bunch of food options.
• Ghost River Brewery has a taproom in the trendy South Main neighborhood just south of downtown.
• Memphis Made Brewing Company on Cooper Avenue has an attached tap room.
• Meddlesome Brewing has a taproom in Cordova; will fill cans and growlers for you.
• Rock'n Dough in Germantown serves pizza, burgers, pasta and beer; they have samplers where you can try a few of their beers.
• Grind City Brewing have opened a taproom near Mud Island.
• Hampline Brewing Company is the latest brewery and tap room, located conveniently on the Hampline, a major cycling route.

I know of two distilleries in Memphis.

• Old Dominick Distillery is located in the South Main area and offers tours of their facility.
• B.R. Distilling Company calls itself "the oldest, licensed distillery in Memphis". Makes Blue Note and Riverset whiskeys.

Other places to consider:

• Tamp and Tap in Downtown and in East Memphis serves both fancy coffee and beer on tap.
• Pyros Pizza in several locations in the metro area, serves personalized pizza, salads, and beer.