M2M

M2M (Morning to Midnite) - 55 3rd Avenue (PanAsian) (Other locations: 2935 Broadway, and 25 W. 32nd Street)
A very large, clean and well stocked chain of Asian deli/grocery stores. I know there's more than just this one, although I don't have those addresses handy. The M2M's have quite a bit - daifuku, korean munchies, noodles, mochi ice cream, and on and on. Check one out!

Kalustyan's

Kalustyan's - 123 Lexington Avenue (International)
What a difference one store away makes! Foods of India is horrible (at least for customer service) - but run right next door to Kaustyan's, where they have, among a million other nationalities, Turkish and Greek sweets like Baklava. Gawd, not another culture to eat through! Where can it end? Well, dive into the munchies here, they're really nice and different.

New York Supermarket, Inc.

New York Supermarket, Inc. - 75 East Broadway (Various ethnicities)
Another good size supermarket to check out. It has a good general stock of alot of things, but what stands out for me is: A good selection of ice creams (durian, taro, etc.), and I saw rambutans in the courtyard. Haven't seen 'em elsewhere yet....

Evergrand Trading

Evergrand Trading - 272 Grand Street (off Forsyth)
A great medium sized Asian market that has haw flakes, melon seeds and a lot of other stuff, most of it in the $.75 - $2.00 range (in other words, really affordable.) They also have Bimbo breakfast food (it might be a drink, I'm not sure)! It's way off to the east, so it gets missed unless you go out of your way. And that area of Grand street is a good little excursion. If you're there, you should also check out Grand Century Market (281 Grand) and HK Manpolo (291 Grand) (this one is particularly good!) . Why not go and find out?

Dynasty Supermarket

Dynasty Supermarket - 68 Elizabeth Street (Mixed)
Isles and isles of authentic Asian groceries. Pungent smells of fish, bok choy, noodles, dumplings, and tons of stuff that you'll just stare at and wonder what the heck it is. A great introduction to the variety available in Asian cuisine. Go to the refrigerated section, and you will find $2.00 tins of various pre-prepared grab and go items, like bean curd and garlic octopus. Sometimes they give out free samples, too!