Perhaps you might try to satisfy your late-night ice cream cravings at '10Below Ice Cream'. They are open till 10 PM during the weekdays, slightly later at 11:30 PM on weekends. Not strictly satisfying your 24 hour requirement, but most connoisseurs of dessert find this joint satisfying.

Haha who needs sleep, right? Try Holey Cream - it's a bakery and ice cream shop, open till midnight most days. Don't go blaming me if you pack on a few extra pounds though!

Okay! So I've got a couple of places in mind. First one being Ample Hills Creamery - they're open till 11 PM and their servings are huge, you won't be disappointed.

Second place, Van Leeuwen Ice Cream, they have some vegan options if that's your thing, and they're also open till 11 PM.

And the third one is Milk & Cream Cereal Bar - you can mix cereal into your ice cream, super fun and yummy! Open till 10 PM. None of these are 24/7 though, that's pretty hard to find in NY.

Look no further than Insomnia Cookies! While technically not an ice cream joint, hear me out. They're open until 3AM, and their ice cream cookie sandwiches are to die for! You can even have it delivered to your door if you prefer staying in.

One should definitely make a visit to Morgenstern's Finest Ice Cream on Rivington Street. It's a late-night spot with a impressive range of flavors. Although not 24 hours, they do remain open until midnight which ideally meets your prerequisites.

Hey! If you're near East Village, you gotta check out Big Gay Ice Cream Shop. It's not 24/7, but they close late which should sort you out for most nights. Salty Pimp cone is legendary.

ICE & VICE is bomb. Seriously, they're open til 10pm during weekdays and 11pm on weekends. Their flavors are always changing and trust me, you don't wanna skip the toppings.