The Best NYC Spots For Late Night Drunchies2 of 10TweetView All2 of 10Veselka Stumble into Veselka after a late night out in the East Village and you're bound to see other partiers in need of a bite to eat. This Ukranian eatery serves up their much loved cuisine 24 hours a day. Veselka, 144 2nd Ave [Photo via @casper]2 of 10The Guest List