Snow ice, the proprietors call it, is a hybrid of Hawaiian shave ice and the toppings-heavy Taiwanese version. The ice itself is a hybrid, too. It begins with frozen blocks of water (Wooly's "original" version) that may be flavored (say, by green tea) but are invariably enriched by a small amount of milk. This milky ice is shaved, by machine, into a serving cup.
A small (shown, $4) takes two toppings and a syrup — for me, the bandera of strawberries, condensed milk, and blueberries. A large, which is more heavily freighted, also wears an Ice Age-appropriate name. (Here's a broad hint.) "Wooly" might well honor the coarse, you could even say shaggy, appearance of the shavings, which owing to the milk are still meltingly smooth.
Plaza north of 1 Centre St. (Duane-Reade Sts.), Manhattan