As the name implies, The Black Pig is a monument to all things pork.
If you go with a group of 3 or more, order the selection of meats and cheeses to start. It's a great sampling of some seriously delicious offerings, including the outstanding pate and brie, served alongside deliciously crunchy bread and deliciously mustard seed laden mustard. I've also had the sticky pig, which is a great cocktail and a very reasonable value for its quality. The gravy frites are also good, perhaps even on par with Greenhouse Tavern's, but a little thicker and doughier than those offered by Greenhouse.
I'd recommend ordering a sampling of small plates and/or mains to share amongst your group, to help diversify from some of the richer, but Delicious options such as the pork belly (which is great, but can be a little much to take on solo). The Bahn Mi sandwich is great, and the mushrooms and the hash are both good choices for your side. I have not had the burger personally, but I've heard good things about it as well.
The patio behind the restaurant is great and offers a nice view of downtown, so consider sitting outside if its available.
Service can be a little slow, but the food is worth the wait.