I've now been thrice and have a sufficient amount of information to have an opinion (unlike most of these posts which are quickly written before I finish my meal).
The first time out, I had the New Mexico burger which was filled with racetracks and sand. Actually, it had roasted poblano peppers, chipotle mayo and cheese. There may have been additional things but they were inconsequential. The burger was large, messy and delicious. Like many of these specialty burgers you can try across town, the meat often can be sub par as the chef overloads it with odd flavors that confuse your basic burger mind. Not the case here. The meat was tender, flavorful (on its own) and perfectly cooked (a good vet could sew it back up and make it moo). I can't remember what else was ordered at the table because I generally ignore everybody else around me when good food is in front of me. But I do remember an order of tomatoes and blue cheese that came with the burger (it was the side I selected, but you can get many others) and they was delicious, with ripe red tomatoes and good blue cheese.
On the second trip, I had the Original BLT Salad, which sounds like a cop-out, but if you haven't noticed, I eat a lot of bad food. So every once in awhile I have to care for my heart and eat a salad, covered in bacon. This was one of the best salads I've ever had. It had chicken, the silent and often absent C in the BLT. It had bacon. Avocado. Cucumber. Some nuts. And best of all, a secret sauce. The server mentioned the secret sauce in a manner that would cause a juvenile FWHITW blogger to make many a joke. But as a more seasoned writer, I'll pass on that and leave the locker room humor to the comments section. The salad was tasty, without being over loaded on sauce, and large enough for two people to share if you wanted to start with a salad and also split a meal.
I can't remember what I had the third time, which was actually the second trip, but for transition sake, I left that out above.
Also good options, based on friends' opinions and from what appeared to be drool coming down diners' faces, are the crab cakes (crab cake salad minus the salad), deviled eggs, and brisket tacos.
The Tavern also serves Brunch on Saturdays and Sundays from 9-2. There are no bottomless drinks, but I think you get a discount if you come in bottomless.
The Tavern is located at 2755 South Hulen and you can visit them here.
Let me know what you think - and again, sorry for the delay in posting.