Opened two weeks back as 18 Ave. B, this East Village newbie is Zaitzeff (in the former High Chai space, right). It's an offshoot of a burger joint of the same name that's been pleasing the Financial District crowd for about a year and a half. Some local color: "Oh yes. I write to officially inform you that the $20 burger has arrived on Avenue B. (Order the half-pound kobe burger at Zaitzeff, which is $16, and then get all the trimmings as well -- cheese, bacon, and avocado.)" Owner is Zachary Zaitzeff, with a crowd that should be decidedly local.
Further reading at the Imbible.