Ethnic food:
Azerbaijani: Azerbaijani cuisine is probably the most popular in Moscow.You can find Azerbaijani restaurants everywhere in Moscow. It is strongly recommended if you want to try delicious food in Moscow.
Armenian: Similar to Turkish and Azerbaijani cuisine but with an exciting twist to it. Try out their mouth watering charcoal grilled kebabs and fish dishes. Many good restaurants available around Moscow and many of the chefs are actually natives from Armenia, which adds to the authenticity of the food. Try out Restaurant Gavan at the address: ?ulitsa Rossolimo 7, gorod Moskva?. Take metro to Park Kul'tury station, also not far away from the famous Gorky Park.
Georgian: Besides Russian cuisine, one variety of ethnic food that is strongly recommended while in Moscow is Georgian. This cuisine is generally spicier than Russian food, and there are a number of reasonably priced Georgian restaurants in Moscow.
Japanese: Moscovites have been obsessed with sushi since late 1990s, and the boom is not over yet. Japanese restaurants are probably most popular among young Russian women, easily competing with Italian and French restaurants. The picture menus are a great help when ordering, and the names of items are basically just Japanese transliterated to Cyrillic. Don't expect a proliferation of raw fish, though; the most popular rolls contain cooked items.
Thai: cuisine can be found only in few restaurants, and its authenticity is well arguable.
Vietnamese and Chinese cuisines are not popular with Russians, but can be found if you search for it.