We had dinner at Kyma (SW corner of 46th and 8th Ave.) on Saturday, pre-theater. Pretty good.
Kyma is owned by the same people who own Ithaka. It's a fairly uninteresting box of a restaurant. Reservations are probably necessary on a busy night -- the place was packed by 6:15 on Saturday. And having made an early reservation, we got a corner table on the banquete, which was a lot more comfortable than most.
The food was very nice. The standard Greek appetizer plate of baba ganush, tzatziki, and taramosalata was excellent, especially when they brought some extra olives to supplement the one originally on the plate. The taramosalata was the best I've ever had.
Their grill octopus appetizer wasn't great. It wasn't sufficiently grilled for my taste -- not undone, but not at all charred.
Rack of lamb was excellent, perfectly cooked, very well spiced. It was accompanied by unexciting vegetables, but that was OK: They were plain but balanced the complexity of the meat nicely.
Desserts were lovely. I particularly liked their yogurt with nuts and honey. They make their own yogurt, which is very rich and creamy. Two people could easily split any of the desserts -- the servings are significantly larger than the samples you see on the dessert tray.
Prices are moderate by theater district standards.