Over the past several summers Wooly's Ice, Ponji Juice Bar, and Snow & Tell introduced New York to snow ice. Though it often resembles shaved ice in variety and abundance of toppings, it's creamier, thanks to a base in which milk, water, and flavoring are frozen together.
At Snowdays, where the confection is called shaved cream, a half-dozen flavored bases can be combined with toppings and drizzles in bewildering variety. Above, "Got Seoul" ($9) combines black sesame and green tea shaved cream with red beans, almonds, mango, mochi, and condensed milk. Below, for a bespoke order, the shaved sweet-milk base is dressed with almond, waffle cone, and banana toppings plus salted caramel and condensed milk drizzles (about $7). A friend and I split the latter for dessert after a nearby dinner, but if you're willing to imagine a bowl of cereal just out of the deep freeze, it almost looks like breakfast.
37-20 Prince St. (37th-39th Aves.), Flushing, Queens
241 East 10th St. (First-Second Aves.), Manhattan
167 Seventh Ave. South (at Perry St.), Manhattan