I thought I saw a thread on this but couldnt find it.
Anyway, We just today visited the new Foodmart USA which opened at 3rd Ave and 37th, a block north of Costco. Primarily Chinese grocery store - but lots of true exotica from Thailand, Philippines, many products I have not seen or noticed before in NY. Not a comprehensive selection at the moment, and clearly still getting settled in;. Butcher and with a still relatively limited selection of meats and poultry, looks like fish is coming (frozen seafood now); some vegetables and fruits.
Upstairs will have furniture and kitchen ware, supposedly there will be mexican foods too but no evidence of that now.
Definitely worth a visit if you are in that area!