Shavi Lomi is a terrific Georgian fusion restaurant in a brick-arched basement, serving up Georgian ingredients in inventive European-style preparations. The menu is long and enticing, but we can definitely recommend the beef-and-wild-plum bouillon, rolled cheese bread with spinach, and rabbit in white-wine sauce!
There's also a very good list of mainly Georgian wines. There are only about 10 tables so it's worth reserving. Find it by the outsize copy of Pirosmani's famous black lion painting on the exterior.