I’d say Spice Avenue for Indian food, and for another option Pan Asia is pretty good, too. I ate there the other day for the first time since it opened, and I was very happy with my meal and with the martinis.
Tye’s is probably the newest restaurant I can think of—downtown on Congress St. in the Plaza building. It’s very good, the strawberry butter and bread alone is reason enough to check it out!
Edited to add (love that feature, by the way!): Can’t believe Dennery’s is closed. Not that I’d eaten there in years, but it was a mainstay in Jackson for as long as I can remember. RIP Dennery’s!!